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Finding the Fourth Proportional to 218.48, 326.76 and 179.60

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Solution

The fourth proportional to 218.48, 326.76 and 179.60 is: 268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.48 : 326.76 = 179.60 : x
  2. Step 2: Convert to fraction form
    218.48/326.76 = 179.60/x
  3. Step 3: Cross multiply
    218.48x = 326.76 × 179.60
  4. Step 4: Simplify right side
    218.48x = 58,686.10
  5. Step 5: Solve for x
    x = 58,686.10/218.48
  6. Step 6: Final answer
    x = 268.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.