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Finding the Fourth Proportional to 546.75, 820.13 and 181.45

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Solution

The fourth proportional to 546.75, 820.13 and 181.45 is: 272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 820.13 = 181.45 : x
  2. Step 2: Convert to fraction form
    546.75/820.13 = 181.45/x
  3. Step 3: Cross multiply
    546.75x = 820.13 × 181.45
  4. Step 4: Simplify right side
    546.75x = 148,813.86
  5. Step 5: Solve for x
    x = 148,813.86/546.75
  6. Step 6: Final answer
    x = 272.18

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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.