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Finding the Fourth Proportional to 421.62, 631.84 and 161.34

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Solution

The fourth proportional to 421.62, 631.84 and 161.34 is: 241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.62 : 631.84 = 161.34 : x
  2. Step 2: Convert to fraction form
    421.62/631.84 = 161.34/x
  3. Step 3: Cross multiply
    421.62x = 631.84 × 161.34
  4. Step 4: Simplify right side
    421.62x = 101,941.07
  5. Step 5: Solve for x
    x = 101,941.07/421.62
  6. Step 6: Final answer
    x = 241.78

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