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Finding the Fourth Proportional to 161.68, 241.40 and 146.20

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Solution

The fourth proportional to 161.68, 241.40 and 146.20 is: 218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.68 : 241.40 = 146.20 : x
  2. Step 2: Convert to fraction form
    161.68/241.40 = 146.20/x
  3. Step 3: Cross multiply
    161.68x = 241.40 × 146.20
  4. Step 4: Simplify right side
    161.68x = 35,292.68
  5. Step 5: Solve for x
    x = 35,292.68/161.68
  6. Step 6: Final answer
    x = 218.29

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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.