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Finding the Fourth Proportional to 143.38, 214.82 and 117.66

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Solution

The fourth proportional to 143.38, 214.82 and 117.66 is: 176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.38 : 214.82 = 117.66 : x
  2. Step 2: Convert to fraction form
    143.38/214.82 = 117.66/x
  3. Step 3: Cross multiply
    143.38x = 214.82 × 117.66
  4. Step 4: Simplify right side
    143.38x = 25,276.38
  5. Step 5: Solve for x
    x = 25,276.38/143.38
  6. Step 6: Final answer
    x = 176.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.