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Finding the Fourth Proportional to 218.24, 327.88 and 180.32

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Solution

The fourth proportional to 218.24, 327.88 and 180.32 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.24 : 327.88 = 180.32 : x
  2. Step 2: Convert to fraction form
    218.24/327.88 = 180.32/x
  3. Step 3: Cross multiply
    218.24x = 327.88 × 180.32
  4. Step 4: Simplify right side
    218.24x = 59,123.32
  5. Step 5: Solve for x
    x = 59,123.32/218.24
  6. Step 6: Final answer
    x = 270.91

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Why These Related Problems?

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