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Finding the Fourth Proportional to 229.50, 316.14 and 185.76

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Solution

The fourth proportional to 229.50, 316.14 and 185.76 is: 255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 316.14 = 185.76 : x
  2. Step 2: Convert to fraction form
    229.50/316.14 = 185.76/x
  3. Step 3: Cross multiply
    229.50x = 316.14 × 185.76
  4. Step 4: Simplify right side
    229.50x = 58,726.17
  5. Step 5: Solve for x
    x = 58,726.17/229.50
  6. Step 6: Final answer
    x = 255.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.