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Finding the Fourth Proportional to 234.41, 323.43 and 147.02

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Solution

The fourth proportional to 234.41, 323.43 and 147.02 is: 202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.41 : 323.43 = 147.02 : x
  2. Step 2: Convert to fraction form
    234.41/323.43 = 147.02/x
  3. Step 3: Cross multiply
    234.41x = 323.43 × 147.02
  4. Step 4: Simplify right side
    234.41x = 47,550.68
  5. Step 5: Solve for x
    x = 47,550.68/234.41
  6. Step 6: Final answer
    x = 202.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.