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Finding the Fourth Proportional to 167.15, 230.27 and 140.76

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Solution

The fourth proportional to 167.15, 230.27 and 140.76 is: 193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.15 : 230.27 = 140.76 : x
  2. Step 2: Convert to fraction form
    167.15/230.27 = 140.76/x
  3. Step 3: Cross multiply
    167.15x = 230.27 × 140.76
  4. Step 4: Simplify right side
    167.15x = 32,412.10
  5. Step 5: Solve for x
    x = 32,412.10/167.15
  6. Step 6: Final answer
    x = 193.91

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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.