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Finding the Fourth Proportional to 192.25, 287.52 and 190.90

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Solution

The fourth proportional to 192.25, 287.52 and 190.90 is: 285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.25 : 287.52 = 190.90 : x
  2. Step 2: Convert to fraction form
    192.25/287.52 = 190.90/x
  3. Step 3: Cross multiply
    192.25x = 287.52 × 190.90
  4. Step 4: Simplify right side
    192.25x = 54,887.57
  5. Step 5: Solve for x
    x = 54,887.57/192.25
  6. Step 6: Final answer
    x = 285.50

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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.