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Finding the Fourth Proportional to 199.14, 299.04 and 189.66

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Solution

The fourth proportional to 199.14, 299.04 and 189.66 is: 284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.14 : 299.04 = 189.66 : x
  2. Step 2: Convert to fraction form
    199.14/299.04 = 189.66/x
  3. Step 3: Cross multiply
    199.14x = 299.04 × 189.66
  4. Step 4: Simplify right side
    199.14x = 56,715.93
  5. Step 5: Solve for x
    x = 56,715.93/199.14
  6. Step 6: Final answer
    x = 284.80

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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.