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Finding the Fourth Proportional to 235.67, 325.20 and 142.40

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Solution

The fourth proportional to 235.67, 325.20 and 142.40 is: 196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.67 : 325.20 = 142.40 : x
  2. Step 2: Convert to fraction form
    235.67/325.20 = 142.40/x
  3. Step 3: Cross multiply
    235.67x = 325.20 × 142.40
  4. Step 4: Simplify right side
    235.67x = 46,306.85
  5. Step 5: Solve for x
    x = 46,306.85/235.67
  6. Step 6: Final answer
    x = 196.49

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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.