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Finding the Fourth Proportional to 200.46, 300.65 and 72.21

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Solution

The fourth proportional to 200.46, 300.65 and 72.21 is: 108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 300.65 = 72.21 : x
  2. Step 2: Convert to fraction form
    200.46/300.65 = 72.21/x
  3. Step 3: Cross multiply
    200.46x = 300.65 × 72.21
  4. Step 4: Simplify right side
    200.46x = 21,709.58
  5. Step 5: Solve for x
    x = 21,709.58/200.46
  6. Step 6: Final answer
    x = 108.30

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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.