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Finding the Fourth Proportional to 283.30, 425.34 and 146.44

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Solution

The fourth proportional to 283.30, 425.34 and 146.44 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.30 : 425.34 = 146.44 : x
  2. Step 2: Convert to fraction form
    283.30/425.34 = 146.44/x
  3. Step 3: Cross multiply
    283.30x = 425.34 × 146.44
  4. Step 4: Simplify right side
    283.30x = 62,286.79
  5. Step 5: Solve for x
    x = 62,286.79/283.30
  6. Step 6: Final answer
    x = 219.86

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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.