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Finding the Fourth Proportional to 180.25, 270.17 and 88.75

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Solution

The fourth proportional to 180.25, 270.17 and 88.75 is: 133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.25 : 270.17 = 88.75 : x
  2. Step 2: Convert to fraction form
    180.25/270.17 = 88.75/x
  3. Step 3: Cross multiply
    180.25x = 270.17 × 88.75
  4. Step 4: Simplify right side
    180.25x = 23,977.81
  5. Step 5: Solve for x
    x = 23,977.81/180.25
  6. Step 6: Final answer
    x = 133.03

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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.