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Finding the Fourth Proportional to 657.50, 986.41 and 195.27

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Solution

The fourth proportional to 657.50, 986.41 and 195.27 is: 292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.50 : 986.41 = 195.27 : x
  2. Step 2: Convert to fraction form
    657.50/986.41 = 195.27/x
  3. Step 3: Cross multiply
    657.50x = 986.41 × 195.27
  4. Step 4: Simplify right side
    657.50x = 192,617.52
  5. Step 5: Solve for x
    x = 192,617.52/657.50
  6. Step 6: Final answer
    x = 292.95

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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.