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Finding the Fourth Proportional to 180.83, 271.47 and 142.44

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Solution

The fourth proportional to 180.83, 271.47 and 142.44 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 271.47 = 142.44 : x
  2. Step 2: Convert to fraction form
    180.83/271.47 = 142.44/x
  3. Step 3: Cross multiply
    180.83x = 271.47 × 142.44
  4. Step 4: Simplify right side
    180.83x = 38,668.19
  5. Step 5: Solve for x
    x = 38,668.19/180.83
  6. Step 6: Final answer
    x = 213.83

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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.