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Finding the Fourth Proportional to 190.01, 262.25 and 116.31

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Solution

The fourth proportional to 190.01, 262.25 and 116.31 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.01 : 262.25 = 116.31 : x
  2. Step 2: Convert to fraction form
    190.01/262.25 = 116.31/x
  3. Step 3: Cross multiply
    190.01x = 262.25 × 116.31
  4. Step 4: Simplify right side
    190.01x = 30,502.30
  5. Step 5: Solve for x
    x = 30,502.30/190.01
  6. Step 6: Final answer
    x = 160.53

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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.