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Finding the Fourth Proportional to 268.83, 403.17 and 106.49

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Solution

The fourth proportional to 268.83, 403.17 and 106.49 is: 159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.83 : 403.17 = 106.49 : x
  2. Step 2: Convert to fraction form
    268.83/403.17 = 106.49/x
  3. Step 3: Cross multiply
    268.83x = 403.17 × 106.49
  4. Step 4: Simplify right side
    268.83x = 42,931.56
  5. Step 5: Solve for x
    x = 42,931.56/268.83
  6. Step 6: Final answer
    x = 159.70

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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.