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Finding the Fourth Proportional to 235.95, 325.47 and 142.73

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Solution

The fourth proportional to 235.95, 325.47 and 142.73 is: 196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.95 : 325.47 = 142.73 : x
  2. Step 2: Convert to fraction form
    235.95/325.47 = 142.73/x
  3. Step 3: Cross multiply
    235.95x = 325.47 × 142.73
  4. Step 4: Simplify right side
    235.95x = 46,453.66
  5. Step 5: Solve for x
    x = 46,453.66/235.95
  6. Step 6: Final answer
    x = 196.88

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