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Finding the Fourth Proportional to 245.82, 367.92 and 142.96

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Solution

The fourth proportional to 245.82, 367.92 and 142.96 is: 213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.82 : 367.92 = 142.96 : x
  2. Step 2: Convert to fraction form
    245.82/367.92 = 142.96/x
  3. Step 3: Cross multiply
    245.82x = 367.92 × 142.96
  4. Step 4: Simplify right side
    245.82x = 52,597.84
  5. Step 5: Solve for x
    x = 52,597.84/245.82
  6. Step 6: Final answer
    x = 213.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.