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Finding the Fourth Proportional to 180.51, 270.36 and 140.19

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Solution

The fourth proportional to 180.51, 270.36 and 140.19 is: 209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.51 : 270.36 = 140.19 : x
  2. Step 2: Convert to fraction form
    180.51/270.36 = 140.19/x
  3. Step 3: Cross multiply
    180.51x = 270.36 × 140.19
  4. Step 4: Simplify right side
    180.51x = 37,901.77
  5. Step 5: Solve for x
    x = 37,901.77/180.51
  6. Step 6: Final answer
    x = 209.97

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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.