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Finding the Fourth Proportional to 162.23, 241.63 and 161.49

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Solution

The fourth proportional to 162.23, 241.63 and 161.49 is: 240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.23 : 241.63 = 161.49 : x
  2. Step 2: Convert to fraction form
    162.23/241.63 = 161.49/x
  3. Step 3: Cross multiply
    162.23x = 241.63 × 161.49
  4. Step 4: Simplify right side
    162.23x = 39,020.42
  5. Step 5: Solve for x
    x = 39,020.42/162.23
  6. Step 6: Final answer
    x = 240.53

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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.