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Finding the Fourth Proportional to 542.36, 813.64 and 177.20

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Solution

The fourth proportional to 542.36, 813.64 and 177.20 is: 265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.36 : 813.64 = 177.20 : x
  2. Step 2: Convert to fraction form
    542.36/813.64 = 177.20/x
  3. Step 3: Cross multiply
    542.36x = 813.64 × 177.20
  4. Step 4: Simplify right side
    542.36x = 144,177.01
  5. Step 5: Solve for x
    x = 144,177.01/542.36
  6. Step 6: Final answer
    x = 265.83

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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.