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Finding the Fourth Proportional to 200.92, 277.29 and 113.59

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Solution

The fourth proportional to 200.92, 277.29 and 113.59 is: 156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 277.29 = 113.59 : x
  2. Step 2: Convert to fraction form
    200.92/277.29 = 113.59/x
  3. Step 3: Cross multiply
    200.92x = 277.29 × 113.59
  4. Step 4: Simplify right side
    200.92x = 31,497.37
  5. Step 5: Solve for x
    x = 31,497.37/200.92
  6. Step 6: Final answer
    x = 156.77

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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.