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Finding the Fourth Proportional to 200.54, 276.74 and 165.44

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Solution

The fourth proportional to 200.54, 276.74 and 165.44 is: 228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.54 : 276.74 = 165.44 : x
  2. Step 2: Convert to fraction form
    200.54/276.74 = 165.44/x
  3. Step 3: Cross multiply
    200.54x = 276.74 × 165.44
  4. Step 4: Simplify right side
    200.54x = 45,781.65
  5. Step 5: Solve for x
    x = 45,781.65/200.54
  6. Step 6: Final answer
    x = 228.30

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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.