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Finding the Fourth Proportional to 200.77, 277.04 and 112.23

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Solution

The fourth proportional to 200.77, 277.04 and 112.23 is: 154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.77 : 277.04 = 112.23 : x
  2. Step 2: Convert to fraction form
    200.77/277.04 = 112.23/x
  3. Step 3: Cross multiply
    200.77x = 277.04 × 112.23
  4. Step 4: Simplify right side
    200.77x = 31,092.48
  5. Step 5: Solve for x
    x = 31,092.48/200.77
  6. Step 6: Final answer
    x = 154.87

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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.