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Finding the Fourth Proportional to 180.16, 270.24 and 58.52

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Solution

The fourth proportional to 180.16, 270.24 and 58.52 is: 87.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 270.24 = 58.52 : x
  2. Step 2: Convert to fraction form
    180.16/270.24 = 58.52/x
  3. Step 3: Cross multiply
    180.16x = 270.24 × 58.52
  4. Step 4: Simplify right side
    180.16x = 15,814.44
  5. Step 5: Solve for x
    x = 15,814.44/180.16
  6. Step 6: Final answer
    x = 87.78

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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.