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Finding the Fourth Proportional to 353.26, 529.74 and 136.69

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Solution

The fourth proportional to 353.26, 529.74 and 136.69 is: 204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.26 : 529.74 = 136.69 : x
  2. Step 2: Convert to fraction form
    353.26/529.74 = 136.69/x
  3. Step 3: Cross multiply
    353.26x = 529.74 × 136.69
  4. Step 4: Simplify right side
    353.26x = 72,408.84
  5. Step 5: Solve for x
    x = 72,408.84/353.26
  6. Step 6: Final answer
    x = 204.97

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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.