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Finding the Fourth Proportional to 180.33, 270.51 and 58.59

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Solution

The fourth proportional to 180.33, 270.51 and 58.59 is: 87.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.33 : 270.51 = 58.59 : x
  2. Step 2: Convert to fraction form
    180.33/270.51 = 58.59/x
  3. Step 3: Cross multiply
    180.33x = 270.51 × 58.59
  4. Step 4: Simplify right side
    180.33x = 15,849.18
  5. Step 5: Solve for x
    x = 15,849.18/180.33
  6. Step 6: Final answer
    x = 87.89

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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.