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Finding the Fourth Proportional to 217.33, 325.29 and 114.47

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Solution

The fourth proportional to 217.33, 325.29 and 114.47 is: 171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.33 : 325.29 = 114.47 : x
  2. Step 2: Convert to fraction form
    217.33/325.29 = 114.47/x
  3. Step 3: Cross multiply
    217.33x = 325.29 × 114.47
  4. Step 4: Simplify right side
    217.33x = 37,235.95
  5. Step 5: Solve for x
    x = 37,235.95/217.33
  6. Step 6: Final answer
    x = 171.33

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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.