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Finding the Fourth Proportional to 161.98, 223.28 and 149.82

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Solution

The fourth proportional to 161.98, 223.28 and 149.82 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.98 : 223.28 = 149.82 : x
  2. Step 2: Convert to fraction form
    161.98/223.28 = 149.82/x
  3. Step 3: Cross multiply
    161.98x = 223.28 × 149.82
  4. Step 4: Simplify right side
    161.98x = 33,451.81
  5. Step 5: Solve for x
    x = 33,451.81/161.98
  6. Step 6: Final answer
    x = 206.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.