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Finding the Fourth Proportional to 200.67, 298.64 and 200.06

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Solution

The fourth proportional to 200.67, 298.64 and 200.06 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.67 : 298.64 = 200.06 : x
  2. Step 2: Convert to fraction form
    200.67/298.64 = 200.06/x
  3. Step 3: Cross multiply
    200.67x = 298.64 × 200.06
  4. Step 4: Simplify right side
    200.67x = 59,745.92
  5. Step 5: Solve for x
    x = 59,745.92/200.67
  6. Step 6: Final answer
    x = 297.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.