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Finding the Fourth Proportional to 167.18, 230.69 and 112.02

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Solution

The fourth proportional to 167.18, 230.69 and 112.02 is: 154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.18 : 230.69 = 112.02 : x
  2. Step 2: Convert to fraction form
    167.18/230.69 = 112.02/x
  3. Step 3: Cross multiply
    167.18x = 230.69 × 112.02
  4. Step 4: Simplify right side
    167.18x = 25,841.89
  5. Step 5: Solve for x
    x = 25,841.89/167.18
  6. Step 6: Final answer
    x = 154.58

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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.