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Finding the Fourth Proportional to 200.05, 299.63 and 97.41

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Solution

The fourth proportional to 200.05, 299.63 and 97.41 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.05 : 299.63 = 97.41 : x
  2. Step 2: Convert to fraction form
    200.05/299.63 = 97.41/x
  3. Step 3: Cross multiply
    200.05x = 299.63 × 97.41
  4. Step 4: Simplify right side
    200.05x = 29,186.47
  5. Step 5: Solve for x
    x = 29,186.47/200.05
  6. Step 6: Final answer
    x = 145.90

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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.