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Finding the Fourth Proportional to 218.41, 301.40 and 125.15

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Solution

The fourth proportional to 218.41, 301.40 and 125.15 is: 172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.41 : 301.40 = 125.15 : x
  2. Step 2: Convert to fraction form
    218.41/301.40 = 125.15/x
  3. Step 3: Cross multiply
    218.41x = 301.40 × 125.15
  4. Step 4: Simplify right side
    218.41x = 37,721.04
  5. Step 5: Solve for x
    x = 37,721.04/218.41
  6. Step 6: Final answer
    x = 172.71

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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.