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Finding the Fourth Proportional to 421.11, 631.69 and 161.07

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Solution

The fourth proportional to 421.11, 631.69 and 161.07 is: 241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.11 : 631.69 = 161.07 : x
  2. Step 2: Convert to fraction form
    421.11/631.69 = 161.07/x
  3. Step 3: Cross multiply
    421.11x = 631.69 × 161.07
  4. Step 4: Simplify right side
    421.11x = 101,743.54
  5. Step 5: Solve for x
    x = 101,743.54/421.11
  6. Step 6: Final answer
    x = 241.61

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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.