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Finding the Fourth Proportional to 229.61, 316.75 and 159.83

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Solution

The fourth proportional to 229.61, 316.75 and 159.83 is: 220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.61 : 316.75 = 159.83 : x
  2. Step 2: Convert to fraction form
    229.61/316.75 = 159.83/x
  3. Step 3: Cross multiply
    229.61x = 316.75 × 159.83
  4. Step 4: Simplify right side
    229.61x = 50,626.15
  5. Step 5: Solve for x
    x = 50,626.15/229.61
  6. Step 6: Final answer
    x = 220.49

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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.