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Finding the Fourth Proportional to 190.33, 285.49 and 121.64

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Solution

The fourth proportional to 190.33, 285.49 and 121.64 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.33 : 285.49 = 121.64 : x
  2. Step 2: Convert to fraction form
    190.33/285.49 = 121.64/x
  3. Step 3: Cross multiply
    190.33x = 285.49 × 121.64
  4. Step 4: Simplify right side
    190.33x = 34,725.73
  5. Step 5: Solve for x
    x = 34,725.73/190.33
  6. Step 6: Final answer
    x = 182.45

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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.