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Finding the Fourth Proportional to 180.78, 270.81 and 142.07

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Solution

The fourth proportional to 180.78, 270.81 and 142.07 is: 212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 270.81 = 142.07 : x
  2. Step 2: Convert to fraction form
    180.78/270.81 = 142.07/x
  3. Step 3: Cross multiply
    180.78x = 270.81 × 142.07
  4. Step 4: Simplify right side
    180.78x = 38,473.98
  5. Step 5: Solve for x
    x = 38,473.98/180.78
  6. Step 6: Final answer
    x = 212.82

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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.