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Finding the Fourth Proportional to 234.90, 323.97 and 147.60

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Solution

The fourth proportional to 234.90, 323.97 and 147.60 is: 203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.90 : 323.97 = 147.60 : x
  2. Step 2: Convert to fraction form
    234.90/323.97 = 147.60/x
  3. Step 3: Cross multiply
    234.90x = 323.97 × 147.60
  4. Step 4: Simplify right side
    234.90x = 47,817.97
  5. Step 5: Solve for x
    x = 47,817.97/234.90
  6. Step 6: Final answer
    x = 203.57

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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.