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Finding the Fourth Proportional to 217.46, 324.34 and 185.18

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Solution

The fourth proportional to 217.46, 324.34 and 185.18 is: 276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.46 : 324.34 = 185.18 : x
  2. Step 2: Convert to fraction form
    217.46/324.34 = 185.18/x
  3. Step 3: Cross multiply
    217.46x = 324.34 × 185.18
  4. Step 4: Simplify right side
    217.46x = 60,061.28
  5. Step 5: Solve for x
    x = 60,061.28/217.46
  6. Step 6: Final answer
    x = 276.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.