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Finding the Fourth Proportional to 281.42, 421.92 and 119.14

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Solution

The fourth proportional to 281.42, 421.92 and 119.14 is: 178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.42 : 421.92 = 119.14 : x
  2. Step 2: Convert to fraction form
    281.42/421.92 = 119.14/x
  3. Step 3: Cross multiply
    281.42x = 421.92 × 119.14
  4. Step 4: Simplify right side
    281.42x = 50,267.55
  5. Step 5: Solve for x
    x = 50,267.55/281.42
  6. Step 6: Final answer
    x = 178.62

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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.