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Finding the Fourth Proportional to 218.74, 301.82 and 124.20

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Solution

The fourth proportional to 218.74, 301.82 and 124.20 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.74 : 301.82 = 124.20 : x
  2. Step 2: Convert to fraction form
    218.74/301.82 = 124.20/x
  3. Step 3: Cross multiply
    218.74x = 301.82 × 124.20
  4. Step 4: Simplify right side
    218.74x = 37,486.35
  5. Step 5: Solve for x
    x = 37,486.35/218.74
  6. Step 6: Final answer
    x = 171.38

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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.