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Finding the Fourth Proportional to 232.08, 319.74 and 182.94

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Solution

The fourth proportional to 232.08, 319.74 and 182.94 is: 252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 319.74 = 182.94 : x
  2. Step 2: Convert to fraction form
    232.08/319.74 = 182.94/x
  3. Step 3: Cross multiply
    232.08x = 319.74 × 182.94
  4. Step 4: Simplify right side
    232.08x = 58,493.24
  5. Step 5: Solve for x
    x = 58,493.24/232.08
  6. Step 6: Final answer
    x = 252.04

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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.