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Finding the Fourth Proportional to 218.72, 301.81 and 125.46

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Solution

The fourth proportional to 218.72, 301.81 and 125.46 is: 173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.72 : 301.81 = 125.46 : x
  2. Step 2: Convert to fraction form
    218.72/301.81 = 125.46/x
  3. Step 3: Cross multiply
    218.72x = 301.81 × 125.46
  4. Step 4: Simplify right side
    218.72x = 37,866.56
  5. Step 5: Solve for x
    x = 37,866.56/218.72
  6. Step 6: Final answer
    x = 173.13

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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.