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Finding the Fourth Proportional to 245.92, 339.36 and 142.42

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Solution

The fourth proportional to 245.92, 339.36 and 142.42 is: 196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.92 : 339.36 = 142.42 : x
  2. Step 2: Convert to fraction form
    245.92/339.36 = 142.42/x
  3. Step 3: Cross multiply
    245.92x = 339.36 × 142.42
  4. Step 4: Simplify right side
    245.92x = 48,331.65
  5. Step 5: Solve for x
    x = 48,331.65/245.92
  6. Step 6: Final answer
    x = 196.53

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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.