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Finding the Fourth Proportional to 190.82, 285.42 and 113.60

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Solution

The fourth proportional to 190.82, 285.42 and 113.60 is: 169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 285.42 = 113.60 : x
  2. Step 2: Convert to fraction form
    190.82/285.42 = 113.60/x
  3. Step 3: Cross multiply
    190.82x = 285.42 × 113.60
  4. Step 4: Simplify right side
    190.82x = 32,423.71
  5. Step 5: Solve for x
    x = 32,423.71/190.82
  6. Step 6: Final answer
    x = 169.92

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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.