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Finding the Fourth Proportional to 192.80, 289.26 and 120.72

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Solution

The fourth proportional to 192.80, 289.26 and 120.72 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.80 : 289.26 = 120.72 : x
  2. Step 2: Convert to fraction form
    192.80/289.26 = 120.72/x
  3. Step 3: Cross multiply
    192.80x = 289.26 × 120.72
  4. Step 4: Simplify right side
    192.80x = 34,919.47
  5. Step 5: Solve for x
    x = 34,919.47/192.80
  6. Step 6: Final answer
    x = 181.12

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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.