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Finding the Fourth Proportional to 144.40, 199.34 and 134.12

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Solution

The fourth proportional to 144.40, 199.34 and 134.12 is: 185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.40 : 199.34 = 134.12 : x
  2. Step 2: Convert to fraction form
    144.40/199.34 = 134.12/x
  3. Step 3: Cross multiply
    144.40x = 199.34 × 134.12
  4. Step 4: Simplify right side
    144.40x = 26,735.48
  5. Step 5: Solve for x
    x = 26,735.48/144.40
  6. Step 6: Final answer
    x = 185.15

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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.