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Finding the Fourth Proportional to 180.32, 270.32 and 88.89

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Solution

The fourth proportional to 180.32, 270.32 and 88.89 is: 133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 270.32 = 88.89 : x
  2. Step 2: Convert to fraction form
    180.32/270.32 = 88.89/x
  3. Step 3: Cross multiply
    180.32x = 270.32 × 88.89
  4. Step 4: Simplify right side
    180.32x = 24,028.74
  5. Step 5: Solve for x
    x = 24,028.74/180.32
  6. Step 6: Final answer
    x = 133.26

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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.