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Finding the Fourth Proportional to 245.24, 338.41 and 144.33

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Solution

The fourth proportional to 245.24, 338.41 and 144.33 is: 199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.24 : 338.41 = 144.33 : x
  2. Step 2: Convert to fraction form
    245.24/338.41 = 144.33/x
  3. Step 3: Cross multiply
    245.24x = 338.41 × 144.33
  4. Step 4: Simplify right side
    245.24x = 48,840.30
  5. Step 5: Solve for x
    x = 48,840.30/245.24
  6. Step 6: Final answer
    x = 199.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.