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Finding the Fourth Proportional to 200.80, 277.02 and 126.07

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Solution

The fourth proportional to 200.80, 277.02 and 126.07 is: 173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 277.02 = 126.07 : x
  2. Step 2: Convert to fraction form
    200.80/277.02 = 126.07/x
  3. Step 3: Cross multiply
    200.80x = 277.02 × 126.07
  4. Step 4: Simplify right side
    200.80x = 34,922.21
  5. Step 5: Solve for x
    x = 34,922.21/200.80
  6. Step 6: Final answer
    x = 173.92

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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.