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Finding the Fourth Proportional to 268.44, 402.56 and 95.12

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Solution

The fourth proportional to 268.44, 402.56 and 95.12 is: 142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.44 : 402.56 = 95.12 : x
  2. Step 2: Convert to fraction form
    268.44/402.56 = 95.12/x
  3. Step 3: Cross multiply
    268.44x = 402.56 × 95.12
  4. Step 4: Simplify right side
    268.44x = 38,291.51
  5. Step 5: Solve for x
    x = 38,291.51/268.44
  6. Step 6: Final answer
    x = 142.64

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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.