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Finding the Fourth Proportional to 659.82, 989.76 and 197.60

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Solution

The fourth proportional to 659.82, 989.76 and 197.60 is: 296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.82 : 989.76 = 197.60 : x
  2. Step 2: Convert to fraction form
    659.82/989.76 = 197.60/x
  3. Step 3: Cross multiply
    659.82x = 989.76 × 197.60
  4. Step 4: Simplify right side
    659.82x = 195,576.58
  5. Step 5: Solve for x
    x = 195,576.58/659.82
  6. Step 6: Final answer
    x = 296.41

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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.