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Finding the Fourth Proportional to 190.82, 284.22 and 186.82

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Solution

The fourth proportional to 190.82, 284.22 and 186.82 is: 278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 284.22 = 186.82 : x
  2. Step 2: Convert to fraction form
    190.82/284.22 = 186.82/x
  3. Step 3: Cross multiply
    190.82x = 284.22 × 186.82
  4. Step 4: Simplify right side
    190.82x = 53,097.98
  5. Step 5: Solve for x
    x = 53,097.98/190.82
  6. Step 6: Final answer
    x = 278.26

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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.