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Finding the Fourth Proportional to 218.68, 328.38 and 180.16

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Solution

The fourth proportional to 218.68, 328.38 and 180.16 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.68 : 328.38 = 180.16 : x
  2. Step 2: Convert to fraction form
    218.68/328.38 = 180.16/x
  3. Step 3: Cross multiply
    218.68x = 328.38 × 180.16
  4. Step 4: Simplify right side
    218.68x = 59,160.94
  5. Step 5: Solve for x
    x = 59,160.94/218.68
  6. Step 6: Final answer
    x = 270.54

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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.