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Finding the Fourth Proportional to 451.97, 678.04 and 159.55

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Solution

The fourth proportional to 451.97, 678.04 and 159.55 is: 239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.97 : 678.04 = 159.55 : x
  2. Step 2: Convert to fraction form
    451.97/678.04 = 159.55/x
  3. Step 3: Cross multiply
    451.97x = 678.04 × 159.55
  4. Step 4: Simplify right side
    451.97x = 108,181.28
  5. Step 5: Solve for x
    x = 108,181.28/451.97
  6. Step 6: Final answer
    x = 239.36

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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.