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Finding the Fourth Proportional to 217.34, 325.38 and 114.38

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Solution

The fourth proportional to 217.34, 325.38 and 114.38 is: 171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.34 : 325.38 = 114.38 : x
  2. Step 2: Convert to fraction form
    217.34/325.38 = 114.38/x
  3. Step 3: Cross multiply
    217.34x = 325.38 × 114.38
  4. Step 4: Simplify right side
    217.34x = 37,216.96
  5. Step 5: Solve for x
    x = 37,216.96/217.34
  6. Step 6: Final answer
    x = 171.24

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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.