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Finding the Fourth Proportional to 542.18, 813.31 and 177.00

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Solution

The fourth proportional to 542.18, 813.31 and 177.00 is: 265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.18 : 813.31 = 177.00 : x
  2. Step 2: Convert to fraction form
    542.18/813.31 = 177.00/x
  3. Step 3: Cross multiply
    542.18x = 813.31 × 177.00
  4. Step 4: Simplify right side
    542.18x = 143,956.95
  5. Step 5: Solve for x
    x = 143,956.95/542.18
  6. Step 6: Final answer
    x = 265.52

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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.