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Finding the Fourth Proportional to 240.69, 332.06 and 142.42

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Solution

The fourth proportional to 240.69, 332.06 and 142.42 is: 196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.69 : 332.06 = 142.42 : x
  2. Step 2: Convert to fraction form
    240.69/332.06 = 142.42/x
  3. Step 3: Cross multiply
    240.69x = 332.06 × 142.42
  4. Step 4: Simplify right side
    240.69x = 47,291.99
  5. Step 5: Solve for x
    x = 47,291.99/240.69
  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.