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Finding the Fourth Proportional to 190.29, 285.83 and 161.46

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Solution

The fourth proportional to 190.29, 285.83 and 161.46 is: 242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.29 : 285.83 = 161.46 : x
  2. Step 2: Convert to fraction form
    190.29/285.83 = 161.46/x
  3. Step 3: Cross multiply
    190.29x = 285.83 × 161.46
  4. Step 4: Simplify right side
    190.29x = 46,150.11
  5. Step 5: Solve for x
    x = 46,150.11/190.29
  6. Step 6: Final answer
    x = 242.53

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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.