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Finding the Fourth Proportional to 200.76, 277 and 122.12

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Solution

The fourth proportional to 200.76, 277 and 122.12 is: 168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.76 : 277 = 122.12 : x
  2. Step 2: Convert to fraction form
    200.76/277 = 122.12/x
  3. Step 3: Cross multiply
    200.76x = 277 × 122.12
  4. Step 4: Simplify right side
    200.76x = 33,827.24
  5. Step 5: Solve for x
    x = 33,827.24/200.76
  6. Step 6: Final answer
    x = 168.50

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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.