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Finding the Fourth Proportional to 218.52, 301.47 and 129.99

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Solution

The fourth proportional to 218.52, 301.47 and 129.99 is: 179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.52 : 301.47 = 129.99 : x
  2. Step 2: Convert to fraction form
    218.52/301.47 = 129.99/x
  3. Step 3: Cross multiply
    218.52x = 301.47 × 129.99
  4. Step 4: Simplify right side
    218.52x = 39,188.09
  5. Step 5: Solve for x
    x = 39,188.09/218.52
  6. Step 6: Final answer
    x = 179.33

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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.