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Finding the Fourth Proportional to 268.68, 402.68 and 114.54

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Solution

The fourth proportional to 268.68, 402.68 and 114.54 is: 171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.68 : 402.68 = 114.54 : x
  2. Step 2: Convert to fraction form
    268.68/402.68 = 114.54/x
  3. Step 3: Cross multiply
    268.68x = 402.68 × 114.54
  4. Step 4: Simplify right side
    268.68x = 46,122.97
  5. Step 5: Solve for x
    x = 46,122.97/268.68
  6. Step 6: Final answer
    x = 171.67

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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.