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Finding the Fourth Proportional to 232.66, 321.04 and 127.74

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Solution

The fourth proportional to 232.66, 321.04 and 127.74 is: 176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.66 : 321.04 = 127.74 : x
  2. Step 2: Convert to fraction form
    232.66/321.04 = 127.74/x
  3. Step 3: Cross multiply
    232.66x = 321.04 × 127.74
  4. Step 4: Simplify right side
    232.66x = 41,009.65
  5. Step 5: Solve for x
    x = 41,009.65/232.66
  6. Step 6: Final answer
    x = 176.26

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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.