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Finding the Fourth Proportional to 180.38, 270.24 and 126.08

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Solution

The fourth proportional to 180.38, 270.24 and 126.08 is: 188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 270.24 = 126.08 : x
  2. Step 2: Convert to fraction form
    180.38/270.24 = 126.08/x
  3. Step 3: Cross multiply
    180.38x = 270.24 × 126.08
  4. Step 4: Simplify right side
    180.38x = 34,071.86
  5. Step 5: Solve for x
    x = 34,071.86/180.38
  6. Step 6: Final answer
    x = 188.89

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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.