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Finding the Fourth Proportional to 353.08, 529.63 and 109.61

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Solution

The fourth proportional to 353.08, 529.63 and 109.61 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.08 : 529.63 = 109.61 : x
  2. Step 2: Convert to fraction form
    353.08/529.63 = 109.61/x
  3. Step 3: Cross multiply
    353.08x = 529.63 × 109.61
  4. Step 4: Simplify right side
    353.08x = 58,052.74
  5. Step 5: Solve for x
    x = 58,052.74/353.08
  6. Step 6: Final answer
    x = 164.42

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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.