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Finding the Fourth Proportional to 177.84, 267.32 and 147.60

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Solution

The fourth proportional to 177.84, 267.32 and 147.60 is: 221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 267.32 = 147.60 : x
  2. Step 2: Convert to fraction form
    177.84/267.32 = 147.60/x
  3. Step 3: Cross multiply
    177.84x = 267.32 × 147.60
  4. Step 4: Simplify right side
    177.84x = 39,456.43
  5. Step 5: Solve for x
    x = 39,456.43/177.84
  6. Step 6: Final answer
    x = 221.86

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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.