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Finding the Fourth Proportional to 144.81, 199.62 and 140.13

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Solution

The fourth proportional to 144.81, 199.62 and 140.13 is: 193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 199.62 = 140.13 : x
  2. Step 2: Convert to fraction form
    144.81/199.62 = 140.13/x
  3. Step 3: Cross multiply
    144.81x = 199.62 × 140.13
  4. Step 4: Simplify right side
    144.81x = 27,972.75
  5. Step 5: Solve for x
    x = 27,972.75/144.81
  6. Step 6: Final answer
    x = 193.17

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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.