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Finding the Fourth Proportional to 218.69, 301.79 and 124.16

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Solution

The fourth proportional to 218.69, 301.79 and 124.16 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.69 : 301.79 = 124.16 : x
  2. Step 2: Convert to fraction form
    218.69/301.79 = 124.16/x
  3. Step 3: Cross multiply
    218.69x = 301.79 × 124.16
  4. Step 4: Simplify right side
    218.69x = 37,469.25
  5. Step 5: Solve for x
    x = 37,469.25/218.69
  6. Step 6: Final answer
    x = 171.34

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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.