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Finding the Fourth Proportional to 232.08, 345.66 and 227.76

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Solution

The fourth proportional to 232.08, 345.66 and 227.76 is: 339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 345.66 = 227.76 : x
  2. Step 2: Convert to fraction form
    232.08/345.66 = 227.76/x
  3. Step 3: Cross multiply
    232.08x = 345.66 × 227.76
  4. Step 4: Simplify right side
    232.08x = 78,727.52
  5. Step 5: Solve for x
    x = 78,727.52/232.08
  6. Step 6: Final answer
    x = 339.23

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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.