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Finding the Fourth Proportional to 299.78, 448.92 and 189.76

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Solution

The fourth proportional to 299.78, 448.92 and 189.76 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.78 : 448.92 = 189.76 : x
  2. Step 2: Convert to fraction form
    299.78/448.92 = 189.76/x
  3. Step 3: Cross multiply
    299.78x = 448.92 × 189.76
  4. Step 4: Simplify right side
    299.78x = 85,186.11
  5. Step 5: Solve for x
    x = 85,186.11/299.78
  6. Step 6: Final answer
    x = 284.16

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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.