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Finding the Fourth Proportional to 180.29, 270.43 and 58.56

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Solution

The fourth proportional to 180.29, 270.43 and 58.56 is: 87.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.29 : 270.43 = 58.56 : x
  2. Step 2: Convert to fraction form
    180.29/270.43 = 58.56/x
  3. Step 3: Cross multiply
    180.29x = 270.43 × 58.56
  4. Step 4: Simplify right side
    180.29x = 15,836.38
  5. Step 5: Solve for x
    x = 15,836.38/180.29
  6. Step 6: Final answer
    x = 87.84

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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.