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Finding the Fourth Proportional to 161.21, 241.40 and 135.47

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Solution

The fourth proportional to 161.21, 241.40 and 135.47 is: 202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.21 : 241.40 = 135.47 : x
  2. Step 2: Convert to fraction form
    161.21/241.40 = 135.47/x
  3. Step 3: Cross multiply
    161.21x = 241.40 × 135.47
  4. Step 4: Simplify right side
    161.21x = 32,700.57
  5. Step 5: Solve for x
    x = 32,700.57/161.21
  6. Step 6: Final answer
    x = 202.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.