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Finding the Fourth Proportional to 275.46, 412.29 and 192.78

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Solution

The fourth proportional to 275.46, 412.29 and 192.78 is: 288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.46 : 412.29 = 192.78 : x
  2. Step 2: Convert to fraction form
    275.46/412.29 = 192.78/x
  3. Step 3: Cross multiply
    275.46x = 412.29 × 192.78
  4. Step 4: Simplify right side
    275.46x = 79,481.27
  5. Step 5: Solve for x
    x = 79,481.27/275.46
  6. Step 6: Final answer
    x = 288.54

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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.