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Finding the Fourth Proportional to 167.17, 230.64 and 115.42

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Solution

The fourth proportional to 167.17, 230.64 and 115.42 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.17 : 230.64 = 115.42 : x
  2. Step 2: Convert to fraction form
    167.17/230.64 = 115.42/x
  3. Step 3: Cross multiply
    167.17x = 230.64 × 115.42
  4. Step 4: Simplify right side
    167.17x = 26,620.47
  5. Step 5: Solve for x
    x = 26,620.47/167.17
  6. Step 6: Final answer
    x = 159.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.