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Finding the Fourth Proportional to 190.68, 263.01 and 141.69

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Solution

The fourth proportional to 190.68, 263.01 and 141.69 is: 195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 263.01 = 141.69 : x
  2. Step 2: Convert to fraction form
    190.68/263.01 = 141.69/x
  3. Step 3: Cross multiply
    190.68x = 263.01 × 141.69
  4. Step 4: Simplify right side
    190.68x = 37,265.89
  5. Step 5: Solve for x
    x = 37,265.89/190.68
  6. Step 6: Final answer
    x = 195.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.