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Finding the Fourth Proportional to 235.22, 352.71 and 105.20

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Solution

The fourth proportional to 235.22, 352.71 and 105.20 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.22 : 352.71 = 105.20 : x
  2. Step 2: Convert to fraction form
    235.22/352.71 = 105.20/x
  3. Step 3: Cross multiply
    235.22x = 352.71 × 105.20
  4. Step 4: Simplify right side
    235.22x = 37,105.09
  5. Step 5: Solve for x
    x = 37,105.09/235.22
  6. Step 6: Final answer
    x = 157.75

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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.