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Finding the Fourth Proportional to 200.66, 276.91 and 165.56

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Solution

The fourth proportional to 200.66, 276.91 and 165.56 is: 228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.66 : 276.91 = 165.56 : x
  2. Step 2: Convert to fraction form
    200.66/276.91 = 165.56/x
  3. Step 3: Cross multiply
    200.66x = 276.91 × 165.56
  4. Step 4: Simplify right side
    200.66x = 45,843.84
  5. Step 5: Solve for x
    x = 45,843.84/200.66
  6. Step 6: Final answer
    x = 228.47

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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.