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Finding the Fourth Proportional to 245.20, 367.80 and 82.87

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Solution

The fourth proportional to 245.20, 367.80 and 82.87 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.20 : 367.80 = 82.87 : x
  2. Step 2: Convert to fraction form
    245.20/367.80 = 82.87/x
  3. Step 3: Cross multiply
    245.20x = 367.80 × 82.87
  4. Step 4: Simplify right side
    245.20x = 30,479.59
  5. Step 5: Solve for x
    x = 30,479.59/245.20
  6. Step 6: Final answer
    x = 124.31

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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.