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Finding the Fourth Proportional to 192.29, 288.52 and 189.22

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Solution

The fourth proportional to 192.29, 288.52 and 189.22 is: 283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.29 : 288.52 = 189.22 : x
  2. Step 2: Convert to fraction form
    192.29/288.52 = 189.22/x
  3. Step 3: Cross multiply
    192.29x = 288.52 × 189.22
  4. Step 4: Simplify right side
    192.29x = 54,592.56
  5. Step 5: Solve for x
    x = 54,592.56/192.29
  6. Step 6: Final answer
    x = 283.91

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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.