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Finding the Fourth Proportional to 268.67, 403.14 and 106.34

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Solution

The fourth proportional to 268.67, 403.14 and 106.34 is: 159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.67 : 403.14 = 106.34 : x
  2. Step 2: Convert to fraction form
    268.67/403.14 = 106.34/x
  3. Step 3: Cross multiply
    268.67x = 403.14 × 106.34
  4. Step 4: Simplify right side
    268.67x = 42,867.89
  5. Step 5: Solve for x
    x = 42,867.89/268.67
  6. Step 6: Final answer
    x = 159.56

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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.