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Finding the Fourth Proportional to 180.13, 270.30 and 126.07

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Solution

The fourth proportional to 180.13, 270.30 and 126.07 is: 189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.13 : 270.30 = 126.07 : x
  2. Step 2: Convert to fraction form
    180.13/270.30 = 126.07/x
  3. Step 3: Cross multiply
    180.13x = 270.30 × 126.07
  4. Step 4: Simplify right side
    180.13x = 34,076.72
  5. Step 5: Solve for x
    x = 34,076.72/180.13
  6. Step 6: Final answer
    x = 189.18

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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.