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Finding the Fourth Proportional to 166.38, 228.96 and 159.12

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Solution

The fourth proportional to 166.38, 228.96 and 159.12 is: 218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.38 : 228.96 = 159.12 : x
  2. Step 2: Convert to fraction form
    166.38/228.96 = 159.12/x
  3. Step 3: Cross multiply
    166.38x = 228.96 × 159.12
  4. Step 4: Simplify right side
    166.38x = 36,432.12
  5. Step 5: Solve for x
    x = 36,432.12/166.38
  6. Step 6: Final answer
    x = 218.97

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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.