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Finding the Fourth Proportional to 353.39, 529.78 and 136.82

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Solution

The fourth proportional to 353.39, 529.78 and 136.82 is: 205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.39 : 529.78 = 136.82 : x
  2. Step 2: Convert to fraction form
    353.39/529.78 = 136.82/x
  3. Step 3: Cross multiply
    353.39x = 529.78 × 136.82
  4. Step 4: Simplify right side
    353.39x = 72,481.17
  5. Step 5: Solve for x
    x = 72,481.17/353.39
  6. Step 6: Final answer
    x = 205.10

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