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Finding the Fourth Proportional to 194.70, 290.28 and 192.27

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Solution

The fourth proportional to 194.70, 290.28 and 192.27 is: 286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.70 : 290.28 = 192.27 : x
  2. Step 2: Convert to fraction form
    194.70/290.28 = 192.27/x
  3. Step 3: Cross multiply
    194.70x = 290.28 × 192.27
  4. Step 4: Simplify right side
    194.70x = 55,813.95
  5. Step 5: Solve for x
    x = 55,813.95/194.70
  6. Step 6: Final answer
    x = 286.66

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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.