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Finding the Fourth Proportional to 232.32, 346.40 and 198.24

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Solution

The fourth proportional to 232.32, 346.40 and 198.24 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.32 : 346.40 = 198.24 : x
  2. Step 2: Convert to fraction form
    232.32/346.40 = 198.24/x
  3. Step 3: Cross multiply
    232.32x = 346.40 × 198.24
  4. Step 4: Simplify right side
    232.32x = 68,670.34
  5. Step 5: Solve for x
    x = 68,670.34/232.32
  6. Step 6: Final answer
    x = 295.59

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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.