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Finding the Fourth Proportional to 654.72, 981.82 and 192.34

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Solution

The fourth proportional to 654.72, 981.82 and 192.34 is: 288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.72 : 981.82 = 192.34 : x
  2. Step 2: Convert to fraction form
    654.72/981.82 = 192.34/x
  3. Step 3: Cross multiply
    654.72x = 981.82 × 192.34
  4. Step 4: Simplify right side
    654.72x = 188,843.26
  5. Step 5: Solve for x
    x = 188,843.26/654.72
  6. Step 6: Final answer
    x = 288.43

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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.