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Finding the Fourth Proportional to 649.67, 974.48 and 162.72

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Solution

The fourth proportional to 649.67, 974.48 and 162.72 is: 244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.67 : 974.48 = 162.72 : x
  2. Step 2: Convert to fraction form
    649.67/974.48 = 162.72/x
  3. Step 3: Cross multiply
    649.67x = 974.48 × 162.72
  4. Step 4: Simplify right side
    649.67x = 158,566.57
  5. Step 5: Solve for x
    x = 158,566.57/649.67
  6. Step 6: Final answer
    x = 244.07

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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.