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Finding the Fourth Proportional to 300.96, 451.40 and 177.57

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Solution

The fourth proportional to 300.96, 451.40 and 177.57 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.96 : 451.40 = 177.57 : x
  2. Step 2: Convert to fraction form
    300.96/451.40 = 177.57/x
  3. Step 3: Cross multiply
    300.96x = 451.40 × 177.57
  4. Step 4: Simplify right side
    300.96x = 80,154.21
  5. Step 5: Solve for x
    x = 80,154.21/300.96
  6. Step 6: Final answer
    x = 266.33

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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.