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Finding the Fourth Proportional to 167.87, 232.07 and 154.04

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Solution

The fourth proportional to 167.87, 232.07 and 154.04 is: 212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.87 : 232.07 = 154.04 : x
  2. Step 2: Convert to fraction form
    167.87/232.07 = 154.04/x
  3. Step 3: Cross multiply
    167.87x = 232.07 × 154.04
  4. Step 4: Simplify right side
    167.87x = 35,746.13
  5. Step 5: Solve for x
    x = 35,746.13/167.87
  6. Step 6: Final answer
    x = 212.94

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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.