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Finding the Fourth Proportional to 218.80, 301.93 and 120.57

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Solution

The fourth proportional to 218.80, 301.93 and 120.57 is: 166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.80 : 301.93 = 120.57 : x
  2. Step 2: Convert to fraction form
    218.80/301.93 = 120.57/x
  3. Step 3: Cross multiply
    218.80x = 301.93 × 120.57
  4. Step 4: Simplify right side
    218.80x = 36,403.70
  5. Step 5: Solve for x
    x = 36,403.70/218.80
  6. Step 6: Final answer
    x = 166.38

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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.