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Finding the Fourth Proportional to 268.41, 403.22 and 160.27

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Solution

The fourth proportional to 268.41, 403.22 and 160.27 is: 240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.41 : 403.22 = 160.27 : x
  2. Step 2: Convert to fraction form
    268.41/403.22 = 160.27/x
  3. Step 3: Cross multiply
    268.41x = 403.22 × 160.27
  4. Step 4: Simplify right side
    268.41x = 64,624.07
  5. Step 5: Solve for x
    x = 64,624.07/268.41
  6. Step 6: Final answer
    x = 240.77

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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.