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Finding the Fourth Proportional to 232.21, 345.79 and 229.65

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Solution

The fourth proportional to 232.21, 345.79 and 229.65 is: 341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.21 : 345.79 = 229.65 : x
  2. Step 2: Convert to fraction form
    232.21/345.79 = 229.65/x
  3. Step 3: Cross multiply
    232.21x = 345.79 × 229.65
  4. Step 4: Simplify right side
    232.21x = 79,410.67
  5. Step 5: Solve for x
    x = 79,410.67/232.21
  6. Step 6: Final answer
    x = 341.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.