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Finding the Fourth Proportional to 268.86, 403.31 and 106.50

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Solution

The fourth proportional to 268.86, 403.31 and 106.50 is: 159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.86 : 403.31 = 106.50 : x
  2. Step 2: Convert to fraction form
    268.86/403.31 = 106.50/x
  3. Step 3: Cross multiply
    268.86x = 403.31 × 106.50
  4. Step 4: Simplify right side
    268.86x = 42,951.98
  5. Step 5: Solve for x
    x = 42,951.98/268.86
  6. Step 6: Final answer
    x = 159.76

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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.