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Finding the Fourth Proportional to 245.26, 367.95 and 137.14

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Solution

The fourth proportional to 245.26, 367.95 and 137.14 is: 205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.26 : 367.95 = 137.14 : x
  2. Step 2: Convert to fraction form
    245.26/367.95 = 137.14/x
  3. Step 3: Cross multiply
    245.26x = 367.95 × 137.14
  4. Step 4: Simplify right side
    245.26x = 50,460.66
  5. Step 5: Solve for x
    x = 50,460.66/245.26
  6. Step 6: Final answer
    x = 205.74

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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.