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Finding the Fourth Proportional to 542.86, 814.29 and 177.68

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Solution

The fourth proportional to 542.86, 814.29 and 177.68 is: 266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.86 : 814.29 = 177.68 : x
  2. Step 2: Convert to fraction form
    542.86/814.29 = 177.68/x
  3. Step 3: Cross multiply
    542.86x = 814.29 × 177.68
  4. Step 4: Simplify right side
    542.86x = 144,683.05
  5. Step 5: Solve for x
    x = 144,683.05/542.86
  6. Step 6: Final answer
    x = 266.52

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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.