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Finding the Fourth Proportional to 190.92, 285.77 and 161.76

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Solution

The fourth proportional to 190.92, 285.77 and 161.76 is: 242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.92 : 285.77 = 161.76 : x
  2. Step 2: Convert to fraction form
    190.92/285.77 = 161.76/x
  3. Step 3: Cross multiply
    190.92x = 285.77 × 161.76
  4. Step 4: Simplify right side
    190.92x = 46,223.92
  5. Step 5: Solve for x
    x = 46,223.92/190.92
  6. Step 6: Final answer
    x = 242.12

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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.