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Finding the Fourth Proportional to 200.46, 276.90 and 164.07

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Solution

The fourth proportional to 200.46, 276.90 and 164.07 is: 226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 276.90 = 164.07 : x
  2. Step 2: Convert to fraction form
    200.46/276.90 = 164.07/x
  3. Step 3: Cross multiply
    200.46x = 276.90 × 164.07
  4. Step 4: Simplify right side
    200.46x = 45,430.98
  5. Step 5: Solve for x
    x = 45,430.98/200.46
  6. Step 6: Final answer
    x = 226.63

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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.