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Finding the Fourth Proportional to 218.78, 301.59 and 179.90

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Solution

The fourth proportional to 218.78, 301.59 and 179.90 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.78 : 301.59 = 179.90 : x
  2. Step 2: Convert to fraction form
    218.78/301.59 = 179.90/x
  3. Step 3: Cross multiply
    218.78x = 301.59 × 179.90
  4. Step 4: Simplify right side
    218.78x = 54,256.04
  5. Step 5: Solve for x
    x = 54,256.04/218.78
  6. Step 6: Final answer
    x = 247.99

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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.