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Finding the Fourth Proportional to 190.05, 284.89 and 74.45

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Solution

The fourth proportional to 190.05, 284.89 and 74.45 is: 111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.05 : 284.89 = 74.45 : x
  2. Step 2: Convert to fraction form
    190.05/284.89 = 74.45/x
  3. Step 3: Cross multiply
    190.05x = 284.89 × 74.45
  4. Step 4: Simplify right side
    190.05x = 21,210.62
  5. Step 5: Solve for x
    x = 21,210.62/190.05
  6. Step 6: Final answer
    x = 111.61

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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.