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Finding the Fourth Proportional to 633.07, 949.61 and 200.14

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Solution

The fourth proportional to 633.07, 949.61 and 200.14 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.07 : 949.61 = 200.14 : x
  2. Step 2: Convert to fraction form
    633.07/949.61 = 200.14/x
  3. Step 3: Cross multiply
    633.07x = 949.61 × 200.14
  4. Step 4: Simplify right side
    633.07x = 190,053.94
  5. Step 5: Solve for x
    x = 190,053.94/633.07
  6. Step 6: Final answer
    x = 300.21

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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.