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Finding the Fourth Proportional to 217.65, 326.33 and 114.87

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Solution

The fourth proportional to 217.65, 326.33 and 114.87 is: 172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.65 : 326.33 = 114.87 : x
  2. Step 2: Convert to fraction form
    217.65/326.33 = 114.87/x
  3. Step 3: Cross multiply
    217.65x = 326.33 × 114.87
  4. Step 4: Simplify right side
    217.65x = 37,484.18
  5. Step 5: Solve for x
    x = 37,484.18/217.65
  6. Step 6: Final answer
    x = 172.23

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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.