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Finding the Fourth Proportional to 234.27, 323.07 and 175.95

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Solution

The fourth proportional to 234.27, 323.07 and 175.95 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.27 : 323.07 = 175.95 : x
  2. Step 2: Convert to fraction form
    234.27/323.07 = 175.95/x
  3. Step 3: Cross multiply
    234.27x = 323.07 × 175.95
  4. Step 4: Simplify right side
    234.27x = 56,844.17
  5. Step 5: Solve for x
    x = 56,844.17/234.27
  6. Step 6: Final answer
    x = 242.64

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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.