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Finding the Fourth Proportional to 232.96, 348.97 and 175.24

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Solution

The fourth proportional to 232.96, 348.97 and 175.24 is: 262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.96 : 348.97 = 175.24 : x
  2. Step 2: Convert to fraction form
    232.96/348.97 = 175.24/x
  3. Step 3: Cross multiply
    232.96x = 348.97 × 175.24
  4. Step 4: Simplify right side
    232.96x = 61,153.50
  5. Step 5: Solve for x
    x = 61,153.50/232.96
  6. Step 6: Final answer
    x = 262.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.