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Finding the Fourth Proportional to 200.25, 276.35 and 108.25

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Solution

The fourth proportional to 200.25, 276.35 and 108.25 is: 149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.25 : 276.35 = 108.25 : x
  2. Step 2: Convert to fraction form
    200.25/276.35 = 108.25/x
  3. Step 3: Cross multiply
    200.25x = 276.35 × 108.25
  4. Step 4: Simplify right side
    200.25x = 29,914.35
  5. Step 5: Solve for x
    x = 29,914.35/200.25
  6. Step 6: Final answer
    x = 149.39

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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.