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Finding the Fourth Proportional to 268.67, 403.03 and 106.31

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Solution

The fourth proportional to 268.67, 403.03 and 106.31 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.67 : 403.03 = 106.31 : x
  2. Step 2: Convert to fraction form
    268.67/403.03 = 106.31/x
  3. Step 3: Cross multiply
    268.67x = 403.03 × 106.31
  4. Step 4: Simplify right side
    268.67x = 42,846.86
  5. Step 5: Solve for x
    x = 42,846.86/268.67
  6. Step 6: Final answer
    x = 159.48

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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.