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Finding the Fourth Proportional to 268.06, 402.09 and 159.52

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Solution

The fourth proportional to 268.06, 402.09 and 159.52 is: 239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.06 : 402.09 = 159.52 : x
  2. Step 2: Convert to fraction form
    268.06/402.09 = 159.52/x
  3. Step 3: Cross multiply
    268.06x = 402.09 × 159.52
  4. Step 4: Simplify right side
    268.06x = 64,141.40
  5. Step 5: Solve for x
    x = 64,141.40/268.06
  6. Step 6: Final answer
    x = 239.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.