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Finding the Fourth Proportional to 218.75, 301.84 and 125.50

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Solution

The fourth proportional to 218.75, 301.84 and 125.50 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.75 : 301.84 = 125.50 : x
  2. Step 2: Convert to fraction form
    218.75/301.84 = 125.50/x
  3. Step 3: Cross multiply
    218.75x = 301.84 × 125.50
  4. Step 4: Simplify right side
    218.75x = 37,879.85
  5. Step 5: Solve for x
    x = 37,879.85/218.75
  6. Step 6: Final answer
    x = 173.17

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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.