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Finding the Fourth Proportional to 200.07, 300.74 and 166.05

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Solution

The fourth proportional to 200.07, 300.74 and 166.05 is: 249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.07 : 300.74 = 166.05 : x
  2. Step 2: Convert to fraction form
    200.07/300.74 = 166.05/x
  3. Step 3: Cross multiply
    200.07x = 300.74 × 166.05
  4. Step 4: Simplify right side
    200.07x = 49,937.05
  5. Step 5: Solve for x
    x = 49,937.05/200.07
  6. Step 6: Final answer
    x = 249.60

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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.