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Finding the Fourth Proportional to 235.85, 353.94 and 105.84

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Solution

The fourth proportional to 235.85, 353.94 and 105.84 is: 158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.85 : 353.94 = 105.84 : x
  2. Step 2: Convert to fraction form
    235.85/353.94 = 105.84/x
  3. Step 3: Cross multiply
    235.85x = 353.94 × 105.84
  4. Step 4: Simplify right side
    235.85x = 37,460.61
  5. Step 5: Solve for x
    x = 37,460.61/235.85
  6. Step 6: Final answer
    x = 158.84

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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.