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Finding the Fourth Proportional to 190.27, 284.96 and 98.84

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Solution

The fourth proportional to 190.27, 284.96 and 98.84 is: 148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.27 : 284.96 = 98.84 : x
  2. Step 2: Convert to fraction form
    190.27/284.96 = 98.84/x
  3. Step 3: Cross multiply
    190.27x = 284.96 × 98.84
  4. Step 4: Simplify right side
    190.27x = 28,164.95
  5. Step 5: Solve for x
    x = 28,164.95/190.27
  6. Step 6: Final answer
    x = 148.03

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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.