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Finding the Fourth Proportional to 283.43, 425.01 and 167.90

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Solution

The fourth proportional to 283.43, 425.01 and 167.90 is: 251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.43 : 425.01 = 167.90 : x
  2. Step 2: Convert to fraction form
    283.43/425.01 = 167.90/x
  3. Step 3: Cross multiply
    283.43x = 425.01 × 167.90
  4. Step 4: Simplify right side
    283.43x = 71,359.18
  5. Step 5: Solve for x
    x = 71,359.18/283.43
  6. Step 6: Final answer
    x = 251.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.