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Finding the Fourth Proportional to 161.44, 241.14 and 134.08

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Solution

The fourth proportional to 161.44, 241.14 and 134.08 is: 200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.44 : 241.14 = 134.08 : x
  2. Step 2: Convert to fraction form
    161.44/241.14 = 134.08/x
  3. Step 3: Cross multiply
    161.44x = 241.14 × 134.08
  4. Step 4: Simplify right side
    161.44x = 32,332.05
  5. Step 5: Solve for x
    x = 32,332.05/161.44
  6. Step 6: Final answer
    x = 200.27

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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.