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Finding the Fourth Proportional to 252.08, 377.76 and 226.40

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Solution

The fourth proportional to 252.08, 377.76 and 226.40 is: 339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.08 : 377.76 = 226.40 : x
  2. Step 2: Convert to fraction form
    252.08/377.76 = 226.40/x
  3. Step 3: Cross multiply
    252.08x = 377.76 × 226.40
  4. Step 4: Simplify right side
    252.08x = 85,524.86
  5. Step 5: Solve for x
    x = 85,524.86/252.08
  6. Step 6: Final answer
    x = 339.28

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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.