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Finding the Fourth Proportional to 658.22, 987.33 and 196.01

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Solution

The fourth proportional to 658.22, 987.33 and 196.01 is: 294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.22 : 987.33 = 196.01 : x
  2. Step 2: Convert to fraction form
    658.22/987.33 = 196.01/x
  3. Step 3: Cross multiply
    658.22x = 987.33 × 196.01
  4. Step 4: Simplify right side
    658.22x = 193,526.55
  5. Step 5: Solve for x
    x = 193,526.55/658.22
  6. Step 6: Final answer
    x = 294.02

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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.