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Finding the Fourth Proportional to 234.86, 352.15 and 143.74

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Solution

The fourth proportional to 234.86, 352.15 and 143.74 is: 215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.86 : 352.15 = 143.74 : x
  2. Step 2: Convert to fraction form
    234.86/352.15 = 143.74/x
  3. Step 3: Cross multiply
    234.86x = 352.15 × 143.74
  4. Step 4: Simplify right side
    234.86x = 50,616.80
  5. Step 5: Solve for x
    x = 50,616.80/234.86
  6. Step 6: Final answer
    x = 215.52

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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.