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Finding the Fourth Proportional to 192.20, 286.38 and 180.04

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Solution

The fourth proportional to 192.20, 286.38 and 180.04 is: 268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.20 : 286.38 = 180.04 : x
  2. Step 2: Convert to fraction form
    192.20/286.38 = 180.04/x
  3. Step 3: Cross multiply
    192.20x = 286.38 × 180.04
  4. Step 4: Simplify right side
    192.20x = 51,559.86
  5. Step 5: Solve for x
    x = 51,559.86/192.20
  6. Step 6: Final answer
    x = 268.26

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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.