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Finding the Fourth Proportional to 190.53, 285.69 and 82.38

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Solution

The fourth proportional to 190.53, 285.69 and 82.38 is: 123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.53 : 285.69 = 82.38 : x
  2. Step 2: Convert to fraction form
    190.53/285.69 = 82.38/x
  3. Step 3: Cross multiply
    190.53x = 285.69 × 82.38
  4. Step 4: Simplify right side
    190.53x = 23,535.14
  5. Step 5: Solve for x
    x = 23,535.14/190.53
  6. Step 6: Final answer
    x = 123.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.