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Finding the Fourth Proportional to 190.65, 285.59 and 113.38

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Solution

The fourth proportional to 190.65, 285.59 and 113.38 is: 169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.65 : 285.59 = 113.38 : x
  2. Step 2: Convert to fraction form
    190.65/285.59 = 113.38/x
  3. Step 3: Cross multiply
    190.65x = 285.59 × 113.38
  4. Step 4: Simplify right side
    190.65x = 32,380.19
  5. Step 5: Solve for x
    x = 32,380.19/190.65
  6. Step 6: Final answer
    x = 169.84

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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.