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Finding the Fourth Proportional to 180.48, 270.08 and 142.08

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Solution

The fourth proportional to 180.48, 270.08 and 142.08 is: 212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 270.08 = 142.08 : x
  2. Step 2: Convert to fraction form
    180.48/270.08 = 142.08/x
  3. Step 3: Cross multiply
    180.48x = 270.08 × 142.08
  4. Step 4: Simplify right side
    180.48x = 38,372.97
  5. Step 5: Solve for x
    x = 38,372.97/180.48
  6. Step 6: Final answer
    x = 212.62

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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.