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Finding the Fourth Proportional to 542.76, 814.08 and 177.80

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Solution

The fourth proportional to 542.76, 814.08 and 177.80 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 814.08 = 177.80 : x
  2. Step 2: Convert to fraction form
    542.76/814.08 = 177.80/x
  3. Step 3: Cross multiply
    542.76x = 814.08 × 177.80
  4. Step 4: Simplify right side
    542.76x = 144,743.42
  5. Step 5: Solve for x
    x = 144,743.42/542.76
  6. Step 6: Final answer
    x = 266.68

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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.