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Finding the Fourth Proportional to 218.14, 301.05 and 130.80

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Solution

The fourth proportional to 218.14, 301.05 and 130.80 is: 180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.14 : 301.05 = 130.80 : x
  2. Step 2: Convert to fraction form
    218.14/301.05 = 130.80/x
  3. Step 3: Cross multiply
    218.14x = 301.05 × 130.80
  4. Step 4: Simplify right side
    218.14x = 39,375.18
  5. Step 5: Solve for x
    x = 39,375.18/218.14
  6. Step 6: Final answer
    x = 180.50

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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.