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Finding the Fourth Proportional to 190.19, 283.96 and 162.83

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Solution

The fourth proportional to 190.19, 283.96 and 162.83 is: 243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.19 : 283.96 = 162.83 : x
  2. Step 2: Convert to fraction form
    190.19/283.96 = 162.83/x
  3. Step 3: Cross multiply
    190.19x = 283.96 × 162.83
  4. Step 4: Simplify right side
    190.19x = 46,237.21
  5. Step 5: Solve for x
    x = 46,237.21/190.19
  6. Step 6: Final answer
    x = 243.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.