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Finding the Fourth Proportional to 234.40, 323.20 and 176.32

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Solution

The fourth proportional to 234.40, 323.20 and 176.32 is: 243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.40 : 323.20 = 176.32 : x
  2. Step 2: Convert to fraction form
    234.40/323.20 = 176.32/x
  3. Step 3: Cross multiply
    234.40x = 323.20 × 176.32
  4. Step 4: Simplify right side
    234.40x = 56,986.62
  5. Step 5: Solve for x
    x = 56,986.62/234.40
  6. Step 6: Final answer
    x = 243.12

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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.