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Finding the Fourth Proportional to 238.98, 330.70 and 203.96

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Solution

The fourth proportional to 238.98, 330.70 and 203.96 is: 282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.98 : 330.70 = 203.96 : x
  2. Step 2: Convert to fraction form
    238.98/330.70 = 203.96/x
  3. Step 3: Cross multiply
    238.98x = 330.70 × 203.96
  4. Step 4: Simplify right side
    238.98x = 67,449.57
  5. Step 5: Solve for x
    x = 67,449.57/238.98
  6. Step 6: Final answer
    x = 282.24

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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.