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Finding the Fourth Proportional to 180.14, 270.18 and 82.58

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Solution

The fourth proportional to 180.14, 270.18 and 82.58 is: 123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.14 : 270.18 = 82.58 : x
  2. Step 2: Convert to fraction form
    180.14/270.18 = 82.58/x
  3. Step 3: Cross multiply
    180.14x = 270.18 × 82.58
  4. Step 4: Simplify right side
    180.14x = 22,310.11
  5. Step 5: Solve for x
    x = 22,310.11/180.14
  6. Step 6: Final answer
    x = 123.85

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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.