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Finding the Fourth Proportional to 177.53, 266.39 and 154.85

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Solution

The fourth proportional to 177.53, 266.39 and 154.85 is: 232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.53 : 266.39 = 154.85 : x
  2. Step 2: Convert to fraction form
    177.53/266.39 = 154.85/x
  3. Step 3: Cross multiply
    177.53x = 266.39 × 154.85
  4. Step 4: Simplify right side
    177.53x = 41,248.97
  5. Step 5: Solve for x
    x = 41,248.97/177.53
  6. Step 6: Final answer
    x = 232.36

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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.