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Finding the Fourth Proportional to 180.24, 270.23 and 88.88

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Solution

The fourth proportional to 180.24, 270.23 and 88.88 is: 133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 270.23 = 88.88 : x
  2. Step 2: Convert to fraction form
    180.24/270.23 = 88.88/x
  3. Step 3: Cross multiply
    180.24x = 270.23 × 88.88
  4. Step 4: Simplify right side
    180.24x = 24,016.25
  5. Step 5: Solve for x
    x = 24,016.25/180.24
  6. Step 6: Final answer
    x = 133.25

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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.