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Finding the Fourth Proportional to 245.25, 367.88 and 137.05

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Solution

The fourth proportional to 245.25, 367.88 and 137.05 is: 205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.25 : 367.88 = 137.05 : x
  2. Step 2: Convert to fraction form
    245.25/367.88 = 137.05/x
  3. Step 3: Cross multiply
    245.25x = 367.88 × 137.05
  4. Step 4: Simplify right side
    245.25x = 50,416.35
  5. Step 5: Solve for x
    x = 50,416.35/245.25
  6. Step 6: Final answer
    x = 205.57

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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.