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Finding the Fourth Proportional to 218.24, 301.24 and 129.75

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Solution

The fourth proportional to 218.24, 301.24 and 129.75 is: 179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.24 : 301.24 = 129.75 : x
  2. Step 2: Convert to fraction form
    218.24/301.24 = 129.75/x
  3. Step 3: Cross multiply
    218.24x = 301.24 × 129.75
  4. Step 4: Simplify right side
    218.24x = 39,085.89
  5. Step 5: Solve for x
    x = 39,085.89/218.24
  6. Step 6: Final answer
    x = 179.10

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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.