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Finding the Fourth Proportional to 167.19, 230.56 and 132.16

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Solution

The fourth proportional to 167.19, 230.56 and 132.16 is: 182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.19 : 230.56 = 132.16 : x
  2. Step 2: Convert to fraction form
    167.19/230.56 = 132.16/x
  3. Step 3: Cross multiply
    167.19x = 230.56 × 132.16
  4. Step 4: Simplify right side
    167.19x = 30,470.81
  5. Step 5: Solve for x
    x = 30,470.81/167.19
  6. Step 6: Final answer
    x = 182.25

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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.