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Finding the Fourth Proportional to 200.10, 299.94 and 163.17

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Solution

The fourth proportional to 200.10, 299.94 and 163.17 is: 244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.10 : 299.94 = 163.17 : x
  2. Step 2: Convert to fraction form
    200.10/299.94 = 163.17/x
  3. Step 3: Cross multiply
    200.10x = 299.94 × 163.17
  4. Step 4: Simplify right side
    200.10x = 48,941.21
  5. Step 5: Solve for x
    x = 48,941.21/200.10
  6. Step 6: Final answer
    x = 244.58

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