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Finding the Fourth Proportional to 269.46, 403.85 and 201.35

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Solution

The fourth proportional to 269.46, 403.85 and 201.35 is: 301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.46 : 403.85 = 201.35 : x
  2. Step 2: Convert to fraction form
    269.46/403.85 = 201.35/x
  3. Step 3: Cross multiply
    269.46x = 403.85 × 201.35
  4. Step 4: Simplify right side
    269.46x = 81,316.71
  5. Step 5: Solve for x
    x = 81,316.71/269.46
  6. Step 6: Final answer
    x = 301.78

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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.