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Finding the Fourth Proportional to 229.09, 316.17 and 159.13

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Solution

The fourth proportional to 229.09, 316.17 and 159.13 is: 219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.09 : 316.17 = 159.13 : x
  2. Step 2: Convert to fraction form
    229.09/316.17 = 159.13/x
  3. Step 3: Cross multiply
    229.09x = 316.17 × 159.13
  4. Step 4: Simplify right side
    229.09x = 50,312.13
  5. Step 5: Solve for x
    x = 50,312.13/229.09
  6. Step 6: Final answer
    x = 219.62

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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.