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Finding the Fourth Proportional to 161.63, 223.17 and 149.34

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Solution

The fourth proportional to 161.63, 223.17 and 149.34 is: 206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.63 : 223.17 = 149.34 : x
  2. Step 2: Convert to fraction form
    161.63/223.17 = 149.34/x
  3. Step 3: Cross multiply
    161.63x = 223.17 × 149.34
  4. Step 4: Simplify right side
    161.63x = 33,328.21
  5. Step 5: Solve for x
    x = 33,328.21/161.63
  6. Step 6: Final answer
    x = 206.20

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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.