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Finding the Fourth Proportional to 259.20, 357.48 and 200.16

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Solution

The fourth proportional to 259.20, 357.48 and 200.16 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 357.48 = 200.16 : x
  2. Step 2: Convert to fraction form
    259.20/357.48 = 200.16/x
  3. Step 3: Cross multiply
    259.20x = 357.48 × 200.16
  4. Step 4: Simplify right side
    259.20x = 71,553.20
  5. Step 5: Solve for x
    x = 71,553.20/259.20
  6. Step 6: Final answer
    x = 276.05

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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.