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Finding the Fourth Proportional to 218.30, 326.43 and 177.39

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Solution

The fourth proportional to 218.30, 326.43 and 177.39 is: 265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.30 : 326.43 = 177.39 : x
  2. Step 2: Convert to fraction form
    218.30/326.43 = 177.39/x
  3. Step 3: Cross multiply
    218.30x = 326.43 × 177.39
  4. Step 4: Simplify right side
    218.30x = 57,905.42
  5. Step 5: Solve for x
    x = 57,905.42/218.30
  6. Step 6: Final answer
    x = 265.26

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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.