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Finding the Fourth Proportional to 657.38, 986.17 and 195.11

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Solution

The fourth proportional to 657.38, 986.17 and 195.11 is: 292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 986.17 = 195.11 : x
  2. Step 2: Convert to fraction form
    657.38/986.17 = 195.11/x
  3. Step 3: Cross multiply
    657.38x = 986.17 × 195.11
  4. Step 4: Simplify right side
    657.38x = 192,406.70
  5. Step 5: Solve for x
    x = 192,406.70/657.38
  6. Step 6: Final answer
    x = 292.69

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1.5x scale

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.