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Finding the Fourth Proportional to 232.56, 346.61 and 230.66

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Solution

The fourth proportional to 232.56, 346.61 and 230.66 is: 343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 346.61 = 230.66 : x
  2. Step 2: Convert to fraction form
    232.56/346.61 = 230.66/x
  3. Step 3: Cross multiply
    232.56x = 346.61 × 230.66
  4. Step 4: Simplify right side
    232.56x = 79,946.18
  5. Step 5: Solve for x
    x = 79,946.18/232.56
  6. Step 6: Final answer
    x = 343.77

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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.