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Finding the Fourth Proportional to 234.72, 323.24 and 176.40

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Solution

The fourth proportional to 234.72, 323.24 and 176.40 is: 242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 323.24 = 176.40 : x
  2. Step 2: Convert to fraction form
    234.72/323.24 = 176.40/x
  3. Step 3: Cross multiply
    234.72x = 323.24 × 176.40
  4. Step 4: Simplify right side
    234.72x = 57,019.54
  5. Step 5: Solve for x
    x = 57,019.54/234.72
  6. Step 6: Final answer
    x = 242.93

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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.