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Finding the Fourth Proportional to 239.96, 330.96 and 203.06

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Solution

The fourth proportional to 239.96, 330.96 and 203.06 is: 280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.96 : 330.96 = 203.06 : x
  2. Step 2: Convert to fraction form
    239.96/330.96 = 203.06/x
  3. Step 3: Cross multiply
    239.96x = 330.96 × 203.06
  4. Step 4: Simplify right side
    239.96x = 67,204.74
  5. Step 5: Solve for x
    x = 67,204.74/239.96
  6. Step 6: Final answer
    x = 280.07

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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.