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Finding the Fourth Proportional to 542.06, 813.13 and 176.80

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Solution

The fourth proportional to 542.06, 813.13 and 176.80 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.06 : 813.13 = 176.80 : x
  2. Step 2: Convert to fraction form
    542.06/813.13 = 176.80/x
  3. Step 3: Cross multiply
    542.06x = 813.13 × 176.80
  4. Step 4: Simplify right side
    542.06x = 143,761.38
  5. Step 5: Solve for x
    x = 143,761.38/542.06
  6. Step 6: Final answer
    x = 265.21

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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.