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Finding the Fourth Proportional to 200.45, 276.33 and 167.64

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Solution

The fourth proportional to 200.45, 276.33 and 167.64 is: 231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.45 : 276.33 = 167.64 : x
  2. Step 2: Convert to fraction form
    200.45/276.33 = 167.64/x
  3. Step 3: Cross multiply
    200.45x = 276.33 × 167.64
  4. Step 4: Simplify right side
    200.45x = 46,323.96
  5. Step 5: Solve for x
    x = 46,323.96/200.45
  6. Step 6: Final answer
    x = 231.10

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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.