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Finding the Fourth Proportional to 281.42, 421.68 and 200.12

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Solution

The fourth proportional to 281.42, 421.68 and 200.12 is: 299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.42 : 421.68 = 200.12 : x
  2. Step 2: Convert to fraction form
    281.42/421.68 = 200.12/x
  3. Step 3: Cross multiply
    281.42x = 421.68 × 200.12
  4. Step 4: Simplify right side
    281.42x = 84,386.60
  5. Step 5: Solve for x
    x = 84,386.60/281.42
  6. Step 6: Final answer
    x = 299.86

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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.