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Finding the Fourth Proportional to 200.25, 276.31 and 117.36

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Solution

The fourth proportional to 200.25, 276.31 and 117.36 is: 161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.25 : 276.31 = 117.36 : x
  2. Step 2: Convert to fraction form
    200.25/276.31 = 117.36/x
  3. Step 3: Cross multiply
    200.25x = 276.31 × 117.36
  4. Step 4: Simplify right side
    200.25x = 32,427.74
  5. Step 5: Solve for x
    x = 32,427.74/200.25
  6. Step 6: Final answer
    x = 161.94

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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.