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Finding the Fourth Proportional to 268.96, 402.96 and 124.48

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Solution

The fourth proportional to 268.96, 402.96 and 124.48 is: 186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.96 : 402.96 = 124.48 : x
  2. Step 2: Convert to fraction form
    268.96/402.96 = 124.48/x
  3. Step 3: Cross multiply
    268.96x = 402.96 × 124.48
  4. Step 4: Simplify right side
    268.96x = 50,160.46
  5. Step 5: Solve for x
    x = 50,160.46/268.96
  6. Step 6: Final answer
    x = 186.50

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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.