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Finding the Fourth Proportional to 229.58, 316.96 and 159.62

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Solution

The fourth proportional to 229.58, 316.96 and 159.62 is: 220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.58 : 316.96 = 159.62 : x
  2. Step 2: Convert to fraction form
    229.58/316.96 = 159.62/x
  3. Step 3: Cross multiply
    229.58x = 316.96 × 159.62
  4. Step 4: Simplify right side
    229.58x = 50,591.57
  5. Step 5: Solve for x
    x = 50,591.57/229.58
  6. Step 6: Final answer
    x = 220.37

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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.