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Finding the Fourth Proportional to 542.71, 813.93 and 177.49

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Solution

The fourth proportional to 542.71, 813.93 and 177.49 is: 266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.71 : 813.93 = 177.49 : x
  2. Step 2: Convert to fraction form
    542.71/813.93 = 177.49/x
  3. Step 3: Cross multiply
    542.71x = 813.93 × 177.49
  4. Step 4: Simplify right side
    542.71x = 144,464.44
  5. Step 5: Solve for x
    x = 144,464.44/542.71
  6. Step 6: Final answer
    x = 266.19

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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.