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Finding the Fourth Proportional to 200.87, 301.76 and 139.82

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Solution

The fourth proportional to 200.87, 301.76 and 139.82 is: 210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.87 : 301.76 = 139.82 : x
  2. Step 2: Convert to fraction form
    200.87/301.76 = 139.82/x
  3. Step 3: Cross multiply
    200.87x = 301.76 × 139.82
  4. Step 4: Simplify right side
    200.87x = 42,189.88
  5. Step 5: Solve for x
    x = 42,189.88/200.87
  6. Step 6: Final answer
    x = 210.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.