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Finding the Fourth Proportional to 190.54, 285.93 and 122.11

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Solution

The fourth proportional to 190.54, 285.93 and 122.11 is: 183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 285.93 = 122.11 : x
  2. Step 2: Convert to fraction form
    190.54/285.93 = 122.11/x
  3. Step 3: Cross multiply
    190.54x = 285.93 × 122.11
  4. Step 4: Simplify right side
    190.54x = 34,914.20
  5. Step 5: Solve for x
    x = 34,914.20/190.54
  6. Step 6: Final answer
    x = 183.24

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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.