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Finding the Fourth Proportional to 229.82, 316.82 and 159.86

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Solution

The fourth proportional to 229.82, 316.82 and 159.86 is: 220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.82 : 316.82 = 159.86 : x
  2. Step 2: Convert to fraction form
    229.82/316.82 = 159.86/x
  3. Step 3: Cross multiply
    229.82x = 316.82 × 159.86
  4. Step 4: Simplify right side
    229.82x = 50,644.46
  5. Step 5: Solve for x
    x = 50,644.46/229.82
  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.