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Finding the Fourth Proportional to 245.13, 367.71 and 82.80

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Solution

The fourth proportional to 245.13, 367.71 and 82.80 is: 124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.13 : 367.71 = 82.80 : x
  2. Step 2: Convert to fraction form
    245.13/367.71 = 82.80/x
  3. Step 3: Cross multiply
    245.13x = 367.71 × 82.80
  4. Step 4: Simplify right side
    245.13x = 30,446.39
  5. Step 5: Solve for x
    x = 30,446.39/245.13
  6. Step 6: Final answer
    x = 124.21

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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.