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Finding the Fourth Proportional to 649.48, 974.21 and 162.52

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Solution

The fourth proportional to 649.48, 974.21 and 162.52 is: 243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.48 : 974.21 = 162.52 : x
  2. Step 2: Convert to fraction form
    649.48/974.21 = 162.52/x
  3. Step 3: Cross multiply
    649.48x = 974.21 × 162.52
  4. Step 4: Simplify right side
    649.48x = 158,328.61
  5. Step 5: Solve for x
    x = 158,328.61/649.48
  6. Step 6: Final answer
    x = 243.78

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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.