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Finding the Fourth Proportional to 218.40, 300.95 and 179.52

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Solution

The fourth proportional to 218.40, 300.95 and 179.52 is: 247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.40 : 300.95 = 179.52 : x
  2. Step 2: Convert to fraction form
    218.40/300.95 = 179.52/x
  3. Step 3: Cross multiply
    218.40x = 300.95 × 179.52
  4. Step 4: Simplify right side
    218.40x = 54,026.54
  5. Step 5: Solve for x
    x = 54,026.54/218.40
  6. Step 6: Final answer
    x = 247.37

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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.