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Finding the Fourth Proportional to 200.09, 299.77 and 178.65

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Solution

The fourth proportional to 200.09, 299.77 and 178.65 is: 267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.09 : 299.77 = 178.65 : x
  2. Step 2: Convert to fraction form
    200.09/299.77 = 178.65/x
  3. Step 3: Cross multiply
    200.09x = 299.77 × 178.65
  4. Step 4: Simplify right side
    200.09x = 53,553.46
  5. Step 5: Solve for x
    x = 53,553.46/200.09
  6. Step 6: Final answer
    x = 267.64

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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.