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Finding the Fourth Proportional to 269.38, 403.30 and 208.63

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Solution

The fourth proportional to 269.38, 403.30 and 208.63 is: 312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.38 : 403.30 = 208.63 : x
  2. Step 2: Convert to fraction form
    269.38/403.30 = 208.63/x
  3. Step 3: Cross multiply
    269.38x = 403.30 × 208.63
  4. Step 4: Simplify right side
    269.38x = 84,140.48
  5. Step 5: Solve for x
    x = 84,140.48/269.38
  6. Step 6: Final answer
    x = 312.35

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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.