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Finding the Fourth Proportional to 217.15, 325.87 and 148.74

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Solution

The fourth proportional to 217.15, 325.87 and 148.74 is: 223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.15 : 325.87 = 148.74 : x
  2. Step 2: Convert to fraction form
    217.15/325.87 = 148.74/x
  3. Step 3: Cross multiply
    217.15x = 325.87 × 148.74
  4. Step 4: Simplify right side
    217.15x = 48,469.15
  5. Step 5: Solve for x
    x = 48,469.15/217.15
  6. Step 6: Final answer
    x = 223.21

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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.