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Finding the Fourth Proportional to 421.12, 631.66 and 161.11

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Solution

The fourth proportional to 421.12, 631.66 and 161.11 is: 241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 631.66 = 161.11 : x
  2. Step 2: Convert to fraction form
    421.12/631.66 = 161.11/x
  3. Step 3: Cross multiply
    421.12x = 631.66 × 161.11
  4. Step 4: Simplify right side
    421.12x = 101,766.74
  5. Step 5: Solve for x
    x = 101,766.74/421.12
  6. Step 6: Final answer
    x = 241.66

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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.