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Finding the Fourth Proportional to 232.74, 348.68 and 207.62

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Solution

The fourth proportional to 232.74, 348.68 and 207.62 is: 311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.74 : 348.68 = 207.62 : x
  2. Step 2: Convert to fraction form
    232.74/348.68 = 207.62/x
  3. Step 3: Cross multiply
    232.74x = 348.68 × 207.62
  4. Step 4: Simplify right side
    232.74x = 72,392.94
  5. Step 5: Solve for x
    x = 72,392.94/232.74
  6. Step 6: Final answer
    x = 311.05

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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.