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Finding the Fourth Proportional to 200.97, 277.34 and 113.64

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Solution

The fourth proportional to 200.97, 277.34 and 113.64 is: 156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.97 : 277.34 = 113.64 : x
  2. Step 2: Convert to fraction form
    200.97/277.34 = 113.64/x
  3. Step 3: Cross multiply
    200.97x = 277.34 × 113.64
  4. Step 4: Simplify right side
    200.97x = 31,516.35
  5. Step 5: Solve for x
    x = 31,516.35/200.97
  6. Step 6: Final answer
    x = 156.82

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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.