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Finding the Fourth Proportional to 161.94, 241.61 and 149.03

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Solution

The fourth proportional to 161.94, 241.61 and 149.03 is: 222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.94 : 241.61 = 149.03 : x
  2. Step 2: Convert to fraction form
    161.94/241.61 = 149.03/x
  3. Step 3: Cross multiply
    161.94x = 241.61 × 149.03
  4. Step 4: Simplify right side
    161.94x = 36,007.14
  5. Step 5: Solve for x
    x = 36,007.14/161.94
  6. Step 6: Final answer
    x = 222.35

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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.