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Finding the Fourth Proportional to 190.81, 263.56 and 141.11

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Solution

The fourth proportional to 190.81, 263.56 and 141.11 is: 194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.81 : 263.56 = 141.11 : x
  2. Step 2: Convert to fraction form
    190.81/263.56 = 141.11/x
  3. Step 3: Cross multiply
    190.81x = 263.56 × 141.11
  4. Step 4: Simplify right side
    190.81x = 37,192.02
  5. Step 5: Solve for x
    x = 37,192.02/190.81
  6. Step 6: Final answer
    x = 194.92

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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.