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Finding the Fourth Proportional to 259.59, 358.11 and 204.33

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Solution

The fourth proportional to 259.59, 358.11 and 204.33 is: 281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.59 : 358.11 = 204.33 : x
  2. Step 2: Convert to fraction form
    259.59/358.11 = 204.33/x
  3. Step 3: Cross multiply
    259.59x = 358.11 × 204.33
  4. Step 4: Simplify right side
    259.59x = 73,172.62
  5. Step 5: Solve for x
    x = 73,172.62/259.59
  6. Step 6: Final answer
    x = 281.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.