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Finding the Fourth Proportional to 269.67, 403.17 and 228.99

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Solution

The fourth proportional to 269.67, 403.17 and 228.99 is: 342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.67 : 403.17 = 228.99 : x
  2. Step 2: Convert to fraction form
    269.67/403.17 = 228.99/x
  3. Step 3: Cross multiply
    269.67x = 403.17 × 228.99
  4. Step 4: Simplify right side
    269.67x = 92,319.88
  5. Step 5: Solve for x
    x = 92,319.88/269.67
  6. Step 6: Final answer
    x = 342.35

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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.