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Finding the Fourth Proportional to 200.01, 275.88 and 126.21

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Solution

The fourth proportional to 200.01, 275.88 and 126.21 is: 174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.01 : 275.88 = 126.21 : x
  2. Step 2: Convert to fraction form
    200.01/275.88 = 126.21/x
  3. Step 3: Cross multiply
    200.01x = 275.88 × 126.21
  4. Step 4: Simplify right side
    200.01x = 34,818.81
  5. Step 5: Solve for x
    x = 34,818.81/200.01
  6. Step 6: Final answer
    x = 174.09

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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.