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Finding the Fourth Proportional to 658.86, 988.02 and 196.50

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Solution

The fourth proportional to 658.86, 988.02 and 196.50 is: 294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.86 : 988.02 = 196.50 : x
  2. Step 2: Convert to fraction form
    658.86/988.02 = 196.50/x
  3. Step 3: Cross multiply
    658.86x = 988.02 × 196.50
  4. Step 4: Simplify right side
    658.86x = 194,145.93
  5. Step 5: Solve for x
    x = 194,145.93/658.86
  6. Step 6: Final answer
    x = 294.67

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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.