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Finding the Fourth Proportional to 190.37, 284.99 and 121.84

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Solution

The fourth proportional to 190.37, 284.99 and 121.84 is: 182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.37 : 284.99 = 121.84 : x
  2. Step 2: Convert to fraction form
    190.37/284.99 = 121.84/x
  3. Step 3: Cross multiply
    190.37x = 284.99 × 121.84
  4. Step 4: Simplify right side
    190.37x = 34,721.86
  5. Step 5: Solve for x
    x = 34,721.86/190.37
  6. Step 6: Final answer
    x = 182.39

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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.