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Finding the Fourth Proportional to 167.84, 250.43 and 147.32

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Solution

The fourth proportional to 167.84, 250.43 and 147.32 is: 219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 250.43 = 147.32 : x
  2. Step 2: Convert to fraction form
    167.84/250.43 = 147.32/x
  3. Step 3: Cross multiply
    167.84x = 250.43 × 147.32
  4. Step 4: Simplify right side
    167.84x = 36,892.61
  5. Step 5: Solve for x
    x = 36,892.61/167.84
  6. Step 6: Final answer
    x = 219.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.