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Finding the Fourth Proportional to 546.40, 819.74 and 181.23

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Solution

The fourth proportional to 546.40, 819.74 and 181.23 is: 271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 819.74 = 181.23 : x
  2. Step 2: Convert to fraction form
    546.40/819.74 = 181.23/x
  3. Step 3: Cross multiply
    546.40x = 819.74 × 181.23
  4. Step 4: Simplify right side
    546.40x = 148,557.38
  5. Step 5: Solve for x
    x = 148,557.38/546.40
  6. Step 6: Final answer
    x = 271.88

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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.