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Finding the Fourth Proportional to 245.31, 367.98 and 82.99

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Solution

The fourth proportional to 245.31, 367.98 and 82.99 is: 124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.31 : 367.98 = 82.99 : x
  2. Step 2: Convert to fraction form
    245.31/367.98 = 82.99/x
  3. Step 3: Cross multiply
    245.31x = 367.98 × 82.99
  4. Step 4: Simplify right side
    245.31x = 30,538.66
  5. Step 5: Solve for x
    x = 30,538.66/245.31
  6. Step 6: Final answer
    x = 124.49

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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.