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Finding the Fourth Proportional to 235.08, 352.23 and 119.41

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Solution

The fourth proportional to 235.08, 352.23 and 119.41 is: 178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.08 : 352.23 = 119.41 : x
  2. Step 2: Convert to fraction form
    235.08/352.23 = 119.41/x
  3. Step 3: Cross multiply
    235.08x = 352.23 × 119.41
  4. Step 4: Simplify right side
    235.08x = 42,058.02
  5. Step 5: Solve for x
    x = 42,058.02/235.08
  6. Step 6: Final answer
    x = 178.91

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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.