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Finding the Fourth Proportional to 238.64, 329.24 and 205.68

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Solution

The fourth proportional to 238.64, 329.24 and 205.68 is: 283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 329.24 = 205.68 : x
  2. Step 2: Convert to fraction form
    238.64/329.24 = 205.68/x
  3. Step 3: Cross multiply
    238.64x = 329.24 × 205.68
  4. Step 4: Simplify right side
    238.64x = 67,718.08
  5. Step 5: Solve for x
    x = 67,718.08/238.64
  6. Step 6: Final answer
    x = 283.77

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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.