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Finding the Fourth Proportional to 234.34, 323.36 and 151.42

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Solution

The fourth proportional to 234.34, 323.36 and 151.42 is: 208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.34 : 323.36 = 151.42 : x
  2. Step 2: Convert to fraction form
    234.34/323.36 = 151.42/x
  3. Step 3: Cross multiply
    234.34x = 323.36 × 151.42
  4. Step 4: Simplify right side
    234.34x = 48,963.17
  5. Step 5: Solve for x
    x = 48,963.17/234.34
  6. Step 6: Final answer
    x = 208.94

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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.