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Finding the Fourth Proportional to 658.05, 987.06 and 195.82

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Solution

The fourth proportional to 658.05, 987.06 and 195.82 is: 293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.05 : 987.06 = 195.82 : x
  2. Step 2: Convert to fraction form
    658.05/987.06 = 195.82/x
  3. Step 3: Cross multiply
    658.05x = 987.06 × 195.82
  4. Step 4: Simplify right side
    658.05x = 193,286.59
  5. Step 5: Solve for x
    x = 193,286.59/658.05
  6. Step 6: Final answer
    x = 293.73

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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.