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Finding the Fourth Proportional to 218.45, 327.42 and 114.17

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Solution

The fourth proportional to 218.45, 327.42 and 114.17 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.45 : 327.42 = 114.17 : x
  2. Step 2: Convert to fraction form
    218.45/327.42 = 114.17/x
  3. Step 3: Cross multiply
    218.45x = 327.42 × 114.17
  4. Step 4: Simplify right side
    218.45x = 37,381.97
  5. Step 5: Solve for x
    x = 37,381.97/218.45
  6. Step 6: Final answer
    x = 171.13

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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.