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Finding the Fourth Proportional to 649.74, 974.42 and 187.56

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Solution

The fourth proportional to 649.74, 974.42 and 187.56 is: 281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.74 : 974.42 = 187.56 : x
  2. Step 2: Convert to fraction form
    649.74/974.42 = 187.56/x
  3. Step 3: Cross multiply
    649.74x = 974.42 × 187.56
  4. Step 4: Simplify right side
    649.74x = 182,761.28
  5. Step 5: Solve for x
    x = 182,761.28/649.74
  6. Step 6: Final answer
    x = 281.28

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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.