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Finding the Fourth Proportional to 546.24, 819.30 and 181.02

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Solution

The fourth proportional to 546.24, 819.30 and 181.02 is: 271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 819.30 = 181.02 : x
  2. Step 2: Convert to fraction form
    546.24/819.30 = 181.02/x
  3. Step 3: Cross multiply
    546.24x = 819.30 × 181.02
  4. Step 4: Simplify right side
    546.24x = 148,309.69
  5. Step 5: Solve for x
    x = 148,309.69/546.24
  6. Step 6: Final answer
    x = 271.51

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.