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Finding the Fourth Proportional to 200.59, 276.71 and 121.88

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Solution

The fourth proportional to 200.59, 276.71 and 121.88 is: 168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.59 : 276.71 = 121.88 : x
  2. Step 2: Convert to fraction form
    200.59/276.71 = 121.88/x
  3. Step 3: Cross multiply
    200.59x = 276.71 × 121.88
  4. Step 4: Simplify right side
    200.59x = 33,725.50
  5. Step 5: Solve for x
    x = 33,725.50/200.59
  6. Step 6: Final answer
    x = 168.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.