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Finding the Fourth Proportional to 354.78, 532.17 and 192.54

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Solution

The fourth proportional to 354.78, 532.17 and 192.54 is: 288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 532.17 = 192.54 : x
  2. Step 2: Convert to fraction form
    354.78/532.17 = 192.54/x
  3. Step 3: Cross multiply
    354.78x = 532.17 × 192.54
  4. Step 4: Simplify right side
    354.78x = 102,464.01
  5. Step 5: Solve for x
    x = 102,464.01/354.78
  6. Step 6: Final answer
    x = 288.81

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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.