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Finding the Fourth Proportional to 161.22, 240.81 and 151.86

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Solution

The fourth proportional to 161.22, 240.81 and 151.86 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.22 : 240.81 = 151.86 : x
  2. Step 2: Convert to fraction form
    161.22/240.81 = 151.86/x
  3. Step 3: Cross multiply
    161.22x = 240.81 × 151.86
  4. Step 4: Simplify right side
    161.22x = 36,569.41
  5. Step 5: Solve for x
    x = 36,569.41/161.22
  6. Step 6: Final answer
    x = 226.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.