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Finding the Fourth Proportional to 190.14, 262.29 and 116.40

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Solution

The fourth proportional to 190.14, 262.29 and 116.40 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.14 : 262.29 = 116.40 : x
  2. Step 2: Convert to fraction form
    190.14/262.29 = 116.40/x
  3. Step 3: Cross multiply
    190.14x = 262.29 × 116.40
  4. Step 4: Simplify right side
    190.14x = 30,530.56
  5. Step 5: Solve for x
    x = 30,530.56/190.14
  6. Step 6: Final answer
    x = 160.57

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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.