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Finding the Fourth Proportional to 167.81, 250.68 and 141.86

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Solution

The fourth proportional to 167.81, 250.68 and 141.86 is: 211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.81 : 250.68 = 141.86 : x
  2. Step 2: Convert to fraction form
    167.81/250.68 = 141.86/x
  3. Step 3: Cross multiply
    167.81x = 250.68 × 141.86
  4. Step 4: Simplify right side
    167.81x = 35,560.76
  5. Step 5: Solve for x
    x = 35,560.76/167.81
  6. Step 6: Final answer
    x = 211.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.