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Finding the Fourth Proportional to 649.85, 974.75 and 187.61

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Solution

The fourth proportional to 649.85, 974.75 and 187.61 is: 281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.85 : 974.75 = 187.61 : x
  2. Step 2: Convert to fraction form
    649.85/974.75 = 187.61/x
  3. Step 3: Cross multiply
    649.85x = 974.75 × 187.61
  4. Step 4: Simplify right side
    649.85x = 182,867.04
  5. Step 5: Solve for x
    x = 182,867.04/649.85
  6. Step 6: Final answer
    x = 281.40

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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.