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Finding the Fourth Proportional to 659.92, 989.20 and 248.80

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Solution

The fourth proportional to 659.92, 989.20 and 248.80 is: 372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.92 : 989.20 = 248.80 : x
  2. Step 2: Convert to fraction form
    659.92/989.20 = 248.80/x
  3. Step 3: Cross multiply
    659.92x = 989.20 × 248.80
  4. Step 4: Simplify right side
    659.92x = 246,112.96
  5. Step 5: Solve for x
    x = 246,112.96/659.92
  6. Step 6: Final answer
    x = 372.94

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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.