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Finding the Fourth Proportional to 232.20, 317.79 and 229.77

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Solution

The fourth proportional to 232.20, 317.79 and 229.77 is: 314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 317.79 = 229.77 : x
  2. Step 2: Convert to fraction form
    232.20/317.79 = 229.77/x
  3. Step 3: Cross multiply
    232.20x = 317.79 × 229.77
  4. Step 4: Simplify right side
    232.20x = 73,018.61
  5. Step 5: Solve for x
    x = 73,018.61/232.20
  6. Step 6: Final answer
    x = 314.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.