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Finding the Fourth Proportional to 229.62, 316.50 and 182.78

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Solution

The fourth proportional to 229.62, 316.50 and 182.78 is: 251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.62 : 316.50 = 182.78 : x
  2. Step 2: Convert to fraction form
    229.62/316.50 = 182.78/x
  3. Step 3: Cross multiply
    229.62x = 316.50 × 182.78
  4. Step 4: Simplify right side
    229.62x = 57,849.08
  5. Step 5: Solve for x
    x = 57,849.08/229.62
  6. Step 6: Final answer
    x = 251.93

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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.