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Finding the Fourth Proportional to 200.54, 300.89 and 78.82

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Solution

The fourth proportional to 200.54, 300.89 and 78.82 is: 118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.54 : 300.89 = 78.82 : x
  2. Step 2: Convert to fraction form
    200.54/300.89 = 78.82/x
  3. Step 3: Cross multiply
    200.54x = 300.89 × 78.82
  4. Step 4: Simplify right side
    200.54x = 23,715.59
  5. Step 5: Solve for x
    x = 23,715.59/200.54
  6. Step 6: Final answer
    x = 118.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.