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Finding the Fourth Proportional to 200.63, 276.90 and 138.50

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Solution

The fourth proportional to 200.63, 276.90 and 138.50 is: 191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.63 : 276.90 = 138.50 : x
  2. Step 2: Convert to fraction form
    200.63/276.90 = 138.50/x
  3. Step 3: Cross multiply
    200.63x = 276.90 × 138.50
  4. Step 4: Simplify right side
    200.63x = 38,349.27
  5. Step 5: Solve for x
    x = 38,349.27/200.63
  6. Step 6: Final answer
    x = 191.14

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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.