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Finding the Fourth Proportional to 180.24, 270.24 and 87.67

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Solution

The fourth proportional to 180.24, 270.24 and 87.67 is: 131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 270.24 = 87.67 : x
  2. Step 2: Convert to fraction form
    180.24/270.24 = 87.67/x
  3. Step 3: Cross multiply
    180.24x = 270.24 × 87.67
  4. Step 4: Simplify right side
    180.24x = 23,691.94
  5. Step 5: Solve for x
    x = 23,691.94/180.24
  6. Step 6: Final answer
    x = 131.45

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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.