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Finding the Fourth Proportional to 190.46, 285.77 and 113.57

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Solution

The fourth proportional to 190.46, 285.77 and 113.57 is: 170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.46 : 285.77 = 113.57 : x
  2. Step 2: Convert to fraction form
    190.46/285.77 = 113.57/x
  3. Step 3: Cross multiply
    190.46x = 285.77 × 113.57
  4. Step 4: Simplify right side
    190.46x = 32,454.90
  5. Step 5: Solve for x
    x = 32,454.90/190.46
  6. Step 6: Final answer
    x = 170.40

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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.