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Finding the Fourth Proportional to 649.96, 974.98 and 163.02

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Solution

The fourth proportional to 649.96, 974.98 and 163.02 is: 244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 974.98 = 163.02 : x
  2. Step 2: Convert to fraction form
    649.96/974.98 = 163.02/x
  3. Step 3: Cross multiply
    649.96x = 974.98 × 163.02
  4. Step 4: Simplify right side
    649.96x = 158,941.24
  5. Step 5: Solve for x
    x = 158,941.24/649.96
  6. Step 6: Final answer
    x = 244.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.