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Finding the Fourth Proportional to 180.30, 270.43 and 58.55

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Solution

The fourth proportional to 180.30, 270.43 and 58.55 is: 87.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.30 : 270.43 = 58.55 : x
  2. Step 2: Convert to fraction form
    180.30/270.43 = 58.55/x
  3. Step 3: Cross multiply
    180.30x = 270.43 × 58.55
  4. Step 4: Simplify right side
    180.30x = 15,833.70
  5. Step 5: Solve for x
    x = 15,833.70/180.30
  6. Step 6: Final answer
    x = 87.82

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