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Finding the Fourth Proportional to 654.63, 981.92 and 192.42

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Solution

The fourth proportional to 654.63, 981.92 and 192.42 is: 288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.63 : 981.92 = 192.42 : x
  2. Step 2: Convert to fraction form
    654.63/981.92 = 192.42/x
  3. Step 3: Cross multiply
    654.63x = 981.92 × 192.42
  4. Step 4: Simplify right side
    654.63x = 188,940.08
  5. Step 5: Solve for x
    x = 188,940.08/654.63
  6. Step 6: Final answer
    x = 288.62

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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.