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Finding the Fourth Proportional to 200.31, 276.45 and 121.65

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Solution

The fourth proportional to 200.31, 276.45 and 121.65 is: 167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.31 : 276.45 = 121.65 : x
  2. Step 2: Convert to fraction form
    200.31/276.45 = 121.65/x
  3. Step 3: Cross multiply
    200.31x = 276.45 × 121.65
  4. Step 4: Simplify right side
    200.31x = 33,630.14
  5. Step 5: Solve for x
    x = 33,630.14/200.31
  6. Step 6: Final answer
    x = 167.89

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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.