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Finding the Fourth Proportional to 659.78, 989.80 and 197.52

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Solution

The fourth proportional to 659.78, 989.80 and 197.52 is: 296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.78 : 989.80 = 197.52 : x
  2. Step 2: Convert to fraction form
    659.78/989.80 = 197.52/x
  3. Step 3: Cross multiply
    659.78x = 989.80 × 197.52
  4. Step 4: Simplify right side
    659.78x = 195,505.30
  5. Step 5: Solve for x
    x = 195,505.30/659.78
  6. Step 6: Final answer
    x = 296.32

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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.