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Finding the Fourth Proportional to 144.08, 214.67 and 137.20

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Solution

The fourth proportional to 144.08, 214.67 and 137.20 is: 204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.08 : 214.67 = 137.20 : x
  2. Step 2: Convert to fraction form
    144.08/214.67 = 137.20/x
  3. Step 3: Cross multiply
    144.08x = 214.67 × 137.20
  4. Step 4: Simplify right side
    144.08x = 29,452.04
  5. Step 5: Solve for x
    x = 29,452.04/144.08
  6. Step 6: Final answer
    x = 204.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.