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Finding the Fourth Proportional to 268.82, 403.06 and 106.40

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Solution

The fourth proportional to 268.82, 403.06 and 106.40 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 403.06 = 106.40 : x
  2. Step 2: Convert to fraction form
    268.82/403.06 = 106.40/x
  3. Step 3: Cross multiply
    268.82x = 403.06 × 106.40
  4. Step 4: Simplify right side
    268.82x = 42,885.58
  5. Step 5: Solve for x
    x = 42,885.58/268.82
  6. Step 6: Final answer
    x = 159.53

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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.