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Finding the Fourth Proportional to 200.67, 300.53 and 113.82

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Solution

The fourth proportional to 200.67, 300.53 and 113.82 is: 170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.67 : 300.53 = 113.82 : x
  2. Step 2: Convert to fraction form
    200.67/300.53 = 113.82/x
  3. Step 3: Cross multiply
    200.67x = 300.53 × 113.82
  4. Step 4: Simplify right side
    200.67x = 34,205.48
  5. Step 5: Solve for x
    x = 34,205.48/200.67
  6. Step 6: Final answer
    x = 170.46

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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.