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Finding the Fourth Proportional to 200.04, 275.76 and 163.12

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Solution

The fourth proportional to 200.04, 275.76 and 163.12 is: 224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 275.76 = 163.12 : x
  2. Step 2: Convert to fraction form
    200.04/275.76 = 163.12/x
  3. Step 3: Cross multiply
    200.04x = 275.76 × 163.12
  4. Step 4: Simplify right side
    200.04x = 44,981.97
  5. Step 5: Solve for x
    x = 44,981.97/200.04
  6. Step 6: Final answer
    x = 224.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.