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Finding the Fourth Proportional to 421.15, 631.71 and 161.28

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Solution

The fourth proportional to 421.15, 631.71 and 161.28 is: 241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.15 : 631.71 = 161.28 : x
  2. Step 2: Convert to fraction form
    421.15/631.71 = 161.28/x
  3. Step 3: Cross multiply
    421.15x = 631.71 × 161.28
  4. Step 4: Simplify right side
    421.15x = 101,880.70
  5. Step 5: Solve for x
    x = 101,880.70/421.15
  6. Step 6: Final answer
    x = 241.91

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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.