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Finding the Fourth Proportional to 200.30, 276.08 and 138.11

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Solution

The fourth proportional to 200.30, 276.08 and 138.11 is: 190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 276.08 = 138.11 : x
  2. Step 2: Convert to fraction form
    200.30/276.08 = 138.11/x
  3. Step 3: Cross multiply
    200.30x = 276.08 × 138.11
  4. Step 4: Simplify right side
    200.30x = 38,127.34
  5. Step 5: Solve for x
    x = 38,127.34/200.30
  6. Step 6: Final answer
    x = 190.36

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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.