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Finding the Fourth Proportional to 234.13, 323.04 and 156.52

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Solution

The fourth proportional to 234.13, 323.04 and 156.52 is: 215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.13 : 323.04 = 156.52 : x
  2. Step 2: Convert to fraction form
    234.13/323.04 = 156.52/x
  3. Step 3: Cross multiply
    234.13x = 323.04 × 156.52
  4. Step 4: Simplify right side
    234.13x = 50,562.22
  5. Step 5: Solve for x
    x = 50,562.22/234.13
  6. Step 6: Final answer
    x = 215.96

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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.