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Finding the Fourth Proportional to 288.08, 397.36 and 200.64

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Solution

The fourth proportional to 288.08, 397.36 and 200.64 is: 276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.08 : 397.36 = 200.64 : x
  2. Step 2: Convert to fraction form
    288.08/397.36 = 200.64/x
  3. Step 3: Cross multiply
    288.08x = 397.36 × 200.64
  4. Step 4: Simplify right side
    288.08x = 79,726.31
  5. Step 5: Solve for x
    x = 79,726.31/288.08
  6. Step 6: Final answer
    x = 276.75

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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.