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Finding the Fourth Proportional to 281.73, 421.99 and 204.32

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Solution

The fourth proportional to 281.73, 421.99 and 204.32 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.73 : 421.99 = 204.32 : x
  2. Step 2: Convert to fraction form
    281.73/421.99 = 204.32/x
  3. Step 3: Cross multiply
    281.73x = 421.99 × 204.32
  4. Step 4: Simplify right side
    281.73x = 86,222.69
  5. Step 5: Solve for x
    x = 86,222.69/281.73
  6. Step 6: Final answer
    x = 306.05

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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.