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Finding the Fourth Proportional to 269.29, 403.47 and 211.88

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Solution

The fourth proportional to 269.29, 403.47 and 211.88 is: 317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.29 : 403.47 = 211.88 : x
  2. Step 2: Convert to fraction form
    269.29/403.47 = 211.88/x
  3. Step 3: Cross multiply
    269.29x = 403.47 × 211.88
  4. Step 4: Simplify right side
    269.29x = 85,487.22
  5. Step 5: Solve for x
    x = 85,487.22/269.29
  6. Step 6: Final answer
    x = 317.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.