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Finding the Fourth Proportional to 200.00, 275.84 and 126.29

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Solution

The fourth proportional to 200.00, 275.84 and 126.29 is: 174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.00 : 275.84 = 126.29 : x
  2. Step 2: Convert to fraction form
    200.00/275.84 = 126.29/x
  3. Step 3: Cross multiply
    200.00x = 275.84 × 126.29
  4. Step 4: Simplify right side
    200.00x = 34,836.37
  5. Step 5: Solve for x
    x = 34,836.37/200.00
  6. Step 6: Final answer
    x = 174.18

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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.