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Finding the Fourth Proportional to 245.36, 367.80 and 137

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Solution

The fourth proportional to 245.36, 367.80 and 137 is: 205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 367.80 = 137 : x
  2. Step 2: Convert to fraction form
    245.36/367.80 = 137/x
  3. Step 3: Cross multiply
    245.36x = 367.80 × 137
  4. Step 4: Simplify right side
    245.36x = 50,388.60
  5. Step 5: Solve for x
    x = 50,388.60/245.36
  6. Step 6: Final answer
    x = 205.37

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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.