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Finding the Fourth Proportional to 420.97, 631.64 and 161.09

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Solution

The fourth proportional to 420.97, 631.64 and 161.09 is: 241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.97 : 631.64 = 161.09 : x
  2. Step 2: Convert to fraction form
    420.97/631.64 = 161.09/x
  3. Step 3: Cross multiply
    420.97x = 631.64 × 161.09
  4. Step 4: Simplify right side
    420.97x = 101,750.89
  5. Step 5: Solve for x
    x = 101,750.89/420.97
  6. Step 6: Final answer
    x = 241.71

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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.