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Finding the Fourth Proportional to 281.53, 421.75 and 200.13

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Solution

The fourth proportional to 281.53, 421.75 and 200.13 is: 299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 421.75 = 200.13 : x
  2. Step 2: Convert to fraction form
    281.53/421.75 = 200.13/x
  3. Step 3: Cross multiply
    281.53x = 421.75 × 200.13
  4. Step 4: Simplify right side
    281.53x = 84,404.83
  5. Step 5: Solve for x
    x = 84,404.83/281.53
  6. Step 6: Final answer
    x = 299.81

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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.