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Finding the Fourth Proportional to 268.85, 403.04 and 106.49

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Solution

The fourth proportional to 268.85, 403.04 and 106.49 is: 159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.85 : 403.04 = 106.49 : x
  2. Step 2: Convert to fraction form
    268.85/403.04 = 106.49/x
  3. Step 3: Cross multiply
    268.85x = 403.04 × 106.49
  4. Step 4: Simplify right side
    268.85x = 42,919.20
  5. Step 5: Solve for x
    x = 42,919.20/268.85
  6. Step 6: Final answer
    x = 159.64

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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.