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Finding the Fourth Proportional to 451.94, 678.15 and 195.46

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Solution

The fourth proportional to 451.94, 678.15 and 195.46 is: 293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.94 : 678.15 = 195.46 : x
  2. Step 2: Convert to fraction form
    451.94/678.15 = 195.46/x
  3. Step 3: Cross multiply
    451.94x = 678.15 × 195.46
  4. Step 4: Simplify right side
    451.94x = 132,551.20
  5. Step 5: Solve for x
    x = 132,551.20/451.94
  6. Step 6: Final answer
    x = 293.29

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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.