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Finding the Fourth Proportional to 283.92, 424.97 and 146.78

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Solution

The fourth proportional to 283.92, 424.97 and 146.78 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.92 : 424.97 = 146.78 : x
  2. Step 2: Convert to fraction form
    283.92/424.97 = 146.78/x
  3. Step 3: Cross multiply
    283.92x = 424.97 × 146.78
  4. Step 4: Simplify right side
    283.92x = 62,376.36
  5. Step 5: Solve for x
    x = 62,376.36/283.92
  6. Step 6: Final answer
    x = 219.70

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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.