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Finding the Fourth Proportional to 200.90, 277.17 and 138.74

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Solution

The fourth proportional to 200.90, 277.17 and 138.74 is: 191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.90 : 277.17 = 138.74 : x
  2. Step 2: Convert to fraction form
    200.90/277.17 = 138.74/x
  3. Step 3: Cross multiply
    200.90x = 277.17 × 138.74
  4. Step 4: Simplify right side
    200.90x = 38,453.18
  5. Step 5: Solve for x
    x = 38,453.18/200.90
  6. Step 6: Final answer
    x = 191.41

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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.