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Finding the Fourth Proportional to 268.89, 403.68 and 228.57

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Solution

The fourth proportional to 268.89, 403.68 and 228.57 is: 343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.89 : 403.68 = 228.57 : x
  2. Step 2: Convert to fraction form
    268.89/403.68 = 228.57/x
  3. Step 3: Cross multiply
    268.89x = 403.68 × 228.57
  4. Step 4: Simplify right side
    268.89x = 92,269.14
  5. Step 5: Solve for x
    x = 92,269.14/268.89
  6. Step 6: Final answer
    x = 343.15

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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.