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Finding the Fourth Proportional to 200.75, 277.16 and 154.31

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Solution

The fourth proportional to 200.75, 277.16 and 154.31 is: 213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 277.16 = 154.31 : x
  2. Step 2: Convert to fraction form
    200.75/277.16 = 154.31/x
  3. Step 3: Cross multiply
    200.75x = 277.16 × 154.31
  4. Step 4: Simplify right side
    200.75x = 42,766.40
  5. Step 5: Solve for x
    x = 42,766.40/200.75
  6. Step 6: Final answer
    x = 213.04

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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.