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Finding the Fourth Proportional to 167.02, 230.47 and 111.86

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Solution

The fourth proportional to 167.02, 230.47 and 111.86 is: 154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.02 : 230.47 = 111.86 : x
  2. Step 2: Convert to fraction form
    167.02/230.47 = 111.86/x
  3. Step 3: Cross multiply
    167.02x = 230.47 × 111.86
  4. Step 4: Simplify right side
    167.02x = 25,781.42
  5. Step 5: Solve for x
    x = 25,781.42/167.02
  6. Step 6: Final answer
    x = 154.36

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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.