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Finding the Fourth Proportional to 259.02, 358.10 and 200.20

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Solution

The fourth proportional to 259.02, 358.10 and 200.20 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.02 : 358.10 = 200.20 : x
  2. Step 2: Convert to fraction form
    259.02/358.10 = 200.20/x
  3. Step 3: Cross multiply
    259.02x = 358.10 × 200.20
  4. Step 4: Simplify right side
    259.02x = 71,691.62
  5. Step 5: Solve for x
    x = 71,691.62/259.02
  6. Step 6: Final answer
    x = 276.78

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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.