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Finding the Fourth Proportional to 245.20, 367.74 and 82.84

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Solution

The fourth proportional to 245.20, 367.74 and 82.84 is: 124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.20 : 367.74 = 82.84 : x
  2. Step 2: Convert to fraction form
    245.20/367.74 = 82.84/x
  3. Step 3: Cross multiply
    245.20x = 367.74 × 82.84
  4. Step 4: Simplify right side
    245.20x = 30,463.58
  5. Step 5: Solve for x
    x = 30,463.58/245.20
  6. Step 6: Final answer
    x = 124.24

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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.