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Finding the Fourth Proportional to 268.68, 403.35 and 160.56

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Solution

The fourth proportional to 268.68, 403.35 and 160.56 is: 241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.68 : 403.35 = 160.56 : x
  2. Step 2: Convert to fraction form
    268.68/403.35 = 160.56/x
  3. Step 3: Cross multiply
    268.68x = 403.35 × 160.56
  4. Step 4: Simplify right side
    268.68x = 64,761.88
  5. Step 5: Solve for x
    x = 64,761.88/268.68
  6. Step 6: Final answer
    x = 241.04

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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.