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Finding the Fourth Proportional to 200.62, 276.51 and 167.55

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Solution

The fourth proportional to 200.62, 276.51 and 167.55 is: 230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.62 : 276.51 = 167.55 : x
  2. Step 2: Convert to fraction form
    200.62/276.51 = 167.55/x
  3. Step 3: Cross multiply
    200.62x = 276.51 × 167.55
  4. Step 4: Simplify right side
    200.62x = 46,329.25
  5. Step 5: Solve for x
    x = 46,329.25/200.62
  6. Step 6: Final answer
    x = 230.93

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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.