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Finding the Fourth Proportional to 218.40, 301.14 and 159.42

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Solution

The fourth proportional to 218.40, 301.14 and 159.42 is: 219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.40 : 301.14 = 159.42 : x
  2. Step 2: Convert to fraction form
    218.40/301.14 = 159.42/x
  3. Step 3: Cross multiply
    218.40x = 301.14 × 159.42
  4. Step 4: Simplify right side
    218.40x = 48,007.74
  5. Step 5: Solve for x
    x = 48,007.74/218.40
  6. Step 6: Final answer
    x = 219.82

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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.