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Finding the Fourth Proportional to 268.61, 402.97 and 114.54

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Solution

The fourth proportional to 268.61, 402.97 and 114.54 is: 171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.61 : 402.97 = 114.54 : x
  2. Step 2: Convert to fraction form
    268.61/402.97 = 114.54/x
  3. Step 3: Cross multiply
    268.61x = 402.97 × 114.54
  4. Step 4: Simplify right side
    268.61x = 46,157.62
  5. Step 5: Solve for x
    x = 46,157.62/268.61
  6. Step 6: Final answer
    x = 171.84

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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.