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Finding the Fourth Proportional to 190.71, 263.34 and 144.14

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Solution

The fourth proportional to 190.71, 263.34 and 144.14 is: 199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.71 : 263.34 = 144.14 : x
  2. Step 2: Convert to fraction form
    190.71/263.34 = 144.14/x
  3. Step 3: Cross multiply
    190.71x = 263.34 × 144.14
  4. Step 4: Simplify right side
    190.71x = 37,956.51
  5. Step 5: Solve for x
    x = 37,956.51/190.71
  6. Step 6: Final answer
    x = 199.03

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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.