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Finding the Fourth Proportional to 180.68, 271.42 and 142.22

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Solution

The fourth proportional to 180.68, 271.42 and 142.22 is: 213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.68 : 271.42 = 142.22 : x
  2. Step 2: Convert to fraction form
    180.68/271.42 = 142.22/x
  3. Step 3: Cross multiply
    180.68x = 271.42 × 142.22
  4. Step 4: Simplify right side
    180.68x = 38,601.35
  5. Step 5: Solve for x
    x = 38,601.35/180.68
  6. Step 6: Final answer
    x = 213.64

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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.