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Finding the Fourth Proportional to 229.14, 344.10 and 177.90

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Solution

The fourth proportional to 229.14, 344.10 and 177.90 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.14 : 344.10 = 177.90 : x
  2. Step 2: Convert to fraction form
    229.14/344.10 = 177.90/x
  3. Step 3: Cross multiply
    229.14x = 344.10 × 177.90
  4. Step 4: Simplify right side
    229.14x = 61,215.39
  5. Step 5: Solve for x
    x = 61,215.39/229.14
  6. Step 6: Final answer
    x = 267.15

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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.