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Finding the Fourth Proportional to 190.25, 262.53 and 150.83

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Solution

The fourth proportional to 190.25, 262.53 and 150.83 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.25 : 262.53 = 150.83 : x
  2. Step 2: Convert to fraction form
    190.25/262.53 = 150.83/x
  3. Step 3: Cross multiply
    190.25x = 262.53 × 150.83
  4. Step 4: Simplify right side
    190.25x = 39,596.09
  5. Step 5: Solve for x
    x = 39,596.09/190.25
  6. Step 6: Final answer
    x = 208.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.