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Finding the Fourth Proportional to 190.40, 284.08 and 189.20

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Solution

The fourth proportional to 190.40, 284.08 and 189.20 is: 282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.40 : 284.08 = 189.20 : x
  2. Step 2: Convert to fraction form
    190.40/284.08 = 189.20/x
  3. Step 3: Cross multiply
    190.40x = 284.08 × 189.20
  4. Step 4: Simplify right side
    190.40x = 53,747.94
  5. Step 5: Solve for x
    x = 53,747.94/190.40
  6. Step 6: Final answer
    x = 282.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.