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Finding the Fourth Proportional to 166.39, 229.57 and 159.82

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Solution

The fourth proportional to 166.39, 229.57 and 159.82 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.39 : 229.57 = 159.82 : x
  2. Step 2: Convert to fraction form
    166.39/229.57 = 159.82/x
  3. Step 3: Cross multiply
    166.39x = 229.57 × 159.82
  4. Step 4: Simplify right side
    166.39x = 36,690.14
  5. Step 5: Solve for x
    x = 36,690.14/166.39
  6. Step 6: Final answer
    x = 220.51

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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.