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Finding the Fourth Proportional to 300.27, 450.77 and 178.59

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Solution

The fourth proportional to 300.27, 450.77 and 178.59 is: 268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.27 : 450.77 = 178.59 : x
  2. Step 2: Convert to fraction form
    300.27/450.77 = 178.59/x
  3. Step 3: Cross multiply
    300.27x = 450.77 × 178.59
  4. Step 4: Simplify right side
    300.27x = 80,502.12
  5. Step 5: Solve for x
    x = 80,502.12/300.27
  6. Step 6: Final answer
    x = 268.10

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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.