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Finding the Fourth Proportional to 232.34, 321.09 and 207.74

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Solution

The fourth proportional to 232.34, 321.09 and 207.74 is: 287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 321.09 = 207.74 : x
  2. Step 2: Convert to fraction form
    232.34/321.09 = 207.74/x
  3. Step 3: Cross multiply
    232.34x = 321.09 × 207.74
  4. Step 4: Simplify right side
    232.34x = 66,703.24
  5. Step 5: Solve for x
    x = 66,703.24/232.34
  6. Step 6: Final answer
    x = 287.09

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