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Finding the Fourth Proportional to 232.24, 320.66 and 208.88

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Solution

The fourth proportional to 232.24, 320.66 and 208.88 is: 288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.24 : 320.66 = 208.88 : x
  2. Step 2: Convert to fraction form
    232.24/320.66 = 208.88/x
  3. Step 3: Cross multiply
    232.24x = 320.66 × 208.88
  4. Step 4: Simplify right side
    232.24x = 66,979.46
  5. Step 5: Solve for x
    x = 66,979.46/232.24
  6. Step 6: Final answer
    x = 288.41

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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.