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Finding the Fourth Proportional to 200.82, 277.14 and 113.50

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Solution

The fourth proportional to 200.82, 277.14 and 113.50 is: 156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 277.14 = 113.50 : x
  2. Step 2: Convert to fraction form
    200.82/277.14 = 113.50/x
  3. Step 3: Cross multiply
    200.82x = 277.14 × 113.50
  4. Step 4: Simplify right side
    200.82x = 31,453.65
  5. Step 5: Solve for x
    x = 31,453.65/200.82
  6. Step 6: Final answer
    x = 156.63

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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.