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Finding the Fourth Proportional to 300.78, 451.26 and 178.74

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Solution

The fourth proportional to 300.78, 451.26 and 178.74 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 451.26 = 178.74 : x
  2. Step 2: Convert to fraction form
    300.78/451.26 = 178.74/x
  3. Step 3: Cross multiply
    300.78x = 451.26 × 178.74
  4. Step 4: Simplify right side
    300.78x = 80,658.21
  5. Step 5: Solve for x
    x = 80,658.21/300.78
  6. Step 6: Final answer
    x = 268.16

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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.