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Finding the Fourth Proportional to 542.40, 813.76 and 177.28

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Solution

The fourth proportional to 542.40, 813.76 and 177.28 is: 265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.40 : 813.76 = 177.28 : x
  2. Step 2: Convert to fraction form
    542.40/813.76 = 177.28/x
  3. Step 3: Cross multiply
    542.40x = 813.76 × 177.28
  4. Step 4: Simplify right side
    542.40x = 144,263.37
  5. Step 5: Solve for x
    x = 144,263.37/542.40
  6. Step 6: Final answer
    x = 265.97

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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.