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Finding the Fourth Proportional to 143.78, 215.27 and 141.76

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Solution

The fourth proportional to 143.78, 215.27 and 141.76 is: 212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.78 : 215.27 = 141.76 : x
  2. Step 2: Convert to fraction form
    143.78/215.27 = 141.76/x
  3. Step 3: Cross multiply
    143.78x = 215.27 × 141.76
  4. Step 4: Simplify right side
    143.78x = 30,514.89
  5. Step 5: Solve for x
    x = 30,514.89/143.78
  6. Step 6: Final answer
    x = 212.23

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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.