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Finding the Fourth Proportional to 161.10, 221.12 and 148.78

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Solution

The fourth proportional to 161.10, 221.12 and 148.78 is: 204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.10 : 221.12 = 148.78 : x
  2. Step 2: Convert to fraction form
    161.10/221.12 = 148.78/x
  3. Step 3: Cross multiply
    161.10x = 221.12 × 148.78
  4. Step 4: Simplify right side
    161.10x = 32,898.23
  5. Step 5: Solve for x
    x = 32,898.23/161.10
  6. Step 6: Final answer
    x = 204.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.