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Finding the Fourth Proportional to 200.13, 275.97 and 163.17

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Solution

The fourth proportional to 200.13, 275.97 and 163.17 is: 225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.13 : 275.97 = 163.17 : x
  2. Step 2: Convert to fraction form
    200.13/275.97 = 163.17/x
  3. Step 3: Cross multiply
    200.13x = 275.97 × 163.17
  4. Step 4: Simplify right side
    200.13x = 45,030.02
  5. Step 5: Solve for x
    x = 45,030.02/200.13
  6. Step 6: Final answer
    x = 225.00

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Why These Related Problems?

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