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Finding the Fourth Proportional to 232.42, 321.06 and 185.86

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Solution

The fourth proportional to 232.42, 321.06 and 185.86 is: 256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.42 : 321.06 = 185.86 : x
  2. Step 2: Convert to fraction form
    232.42/321.06 = 185.86/x
  3. Step 3: Cross multiply
    232.42x = 321.06 × 185.86
  4. Step 4: Simplify right side
    232.42x = 59,672.21
  5. Step 5: Solve for x
    x = 59,672.21/232.42
  6. Step 6: Final answer
    x = 256.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.