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Finding the Fourth Proportional to 283.85, 425.13 and 147.02

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Solution

The fourth proportional to 283.85, 425.13 and 147.02 is: 220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.85 : 425.13 = 147.02 : x
  2. Step 2: Convert to fraction form
    283.85/425.13 = 147.02/x
  3. Step 3: Cross multiply
    283.85x = 425.13 × 147.02
  4. Step 4: Simplify right side
    283.85x = 62,502.61
  5. Step 5: Solve for x
    x = 62,502.61/283.85
  6. Step 6: Final answer
    x = 220.20

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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.