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Finding the Fourth Proportional to 232.44, 320.78 and 134.22

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Solution

The fourth proportional to 232.44, 320.78 and 134.22 is: 185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 320.78 = 134.22 : x
  2. Step 2: Convert to fraction form
    232.44/320.78 = 134.22/x
  3. Step 3: Cross multiply
    232.44x = 320.78 × 134.22
  4. Step 4: Simplify right side
    232.44x = 43,054.42
  5. Step 5: Solve for x
    x = 43,054.42/232.44
  6. Step 6: Final answer
    x = 185.23

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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.