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Finding the Fourth Proportional to 218.75, 301.92 and 141.17

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Solution

The fourth proportional to 218.75, 301.92 and 141.17 is: 194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.75 : 301.92 = 141.17 : x
  2. Step 2: Convert to fraction form
    218.75/301.92 = 141.17/x
  3. Step 3: Cross multiply
    218.75x = 301.92 × 141.17
  4. Step 4: Simplify right side
    218.75x = 42,622.05
  5. Step 5: Solve for x
    x = 42,622.05/218.75
  6. Step 6: Final answer
    x = 194.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.