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Finding the Fourth Proportional to 200.91, 277.27 and 113.60

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Solution

The fourth proportional to 200.91, 277.27 and 113.60 is: 156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.91 : 277.27 = 113.60 : x
  2. Step 2: Convert to fraction form
    200.91/277.27 = 113.60/x
  3. Step 3: Cross multiply
    200.91x = 277.27 × 113.60
  4. Step 4: Simplify right side
    200.91x = 31,497.87
  5. Step 5: Solve for x
    x = 31,497.87/200.91
  6. Step 6: Final answer
    x = 156.78

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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.