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Finding the Fourth Proportional to 218.75, 301.86 and 120.50

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Solution

The fourth proportional to 218.75, 301.86 and 120.50 is: 166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.75 : 301.86 = 120.50 : x
  2. Step 2: Convert to fraction form
    218.75/301.86 = 120.50/x
  3. Step 3: Cross multiply
    218.75x = 301.86 × 120.50
  4. Step 4: Simplify right side
    218.75x = 36,372.62
  5. Step 5: Solve for x
    x = 36,372.62/218.75
  6. Step 6: Final answer
    x = 166.28

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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.