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Finding the Fourth Proportional to 190.25, 261.73 and 182.15

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Solution

The fourth proportional to 190.25, 261.73 and 182.15 is: 250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.25 : 261.73 = 182.15 : x
  2. Step 2: Convert to fraction form
    190.25/261.73 = 182.15/x
  3. Step 3: Cross multiply
    190.25x = 261.73 × 182.15
  4. Step 4: Simplify right side
    190.25x = 47,674.12
  5. Step 5: Solve for x
    x = 47,674.12/190.25
  6. Step 6: Final answer
    x = 250.59

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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.