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Finding the Fourth Proportional to 235.67, 325.22 and 142.41

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Solution

The fourth proportional to 235.67, 325.22 and 142.41 is: 196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.67 : 325.22 = 142.41 : x
  2. Step 2: Convert to fraction form
    235.67/325.22 = 142.41/x
  3. Step 3: Cross multiply
    235.67x = 325.22 × 142.41
  4. Step 4: Simplify right side
    235.67x = 46,314.58
  5. Step 5: Solve for x
    x = 46,314.58/235.67
  6. Step 6: Final answer
    x = 196.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.