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Finding the Fourth Proportional to 283.36, 425.18 and 167.80

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Solution

The fourth proportional to 283.36, 425.18 and 167.80 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.36 : 425.18 = 167.80 : x
  2. Step 2: Convert to fraction form
    283.36/425.18 = 167.80/x
  3. Step 3: Cross multiply
    283.36x = 425.18 × 167.80
  4. Step 4: Simplify right side
    283.36x = 71,345.20
  5. Step 5: Solve for x
    x = 71,345.20/283.36
  6. Step 6: Final answer
    x = 251.78

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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.