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Finding the Fourth Proportional to 239.68, 329.88 and 203.14

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Solution

The fourth proportional to 239.68, 329.88 and 203.14 is: 279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.68 : 329.88 = 203.14 : x
  2. Step 2: Convert to fraction form
    239.68/329.88 = 203.14/x
  3. Step 3: Cross multiply
    239.68x = 329.88 × 203.14
  4. Step 4: Simplify right side
    239.68x = 67,011.82
  5. Step 5: Solve for x
    x = 67,011.82/239.68
  6. Step 6: Final answer
    x = 279.59

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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.