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Finding the Fourth Proportional to 658.77, 988.16 and 196.58

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Solution

The fourth proportional to 658.77, 988.16 and 196.58 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.77 : 988.16 = 196.58 : x
  2. Step 2: Convert to fraction form
    658.77/988.16 = 196.58/x
  3. Step 3: Cross multiply
    658.77x = 988.16 × 196.58
  4. Step 4: Simplify right side
    658.77x = 194,246.57
  5. Step 5: Solve for x
    x = 194,246.57/658.77
  6. Step 6: Final answer
    x = 294.86

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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.