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Finding the Fourth Proportional to 657.70, 986.57 and 195.49

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Solution

The fourth proportional to 657.70, 986.57 and 195.49 is: 293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.70 : 986.57 = 195.49 : x
  2. Step 2: Convert to fraction form
    657.70/986.57 = 195.49/x
  3. Step 3: Cross multiply
    657.70x = 986.57 × 195.49
  4. Step 4: Simplify right side
    657.70x = 192,864.57
  5. Step 5: Solve for x
    x = 192,864.57/657.70
  6. Step 6: Final answer
    x = 293.24

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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.