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Finding the Fourth Proportional to 299.70, 448.97 and 184.10

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Solution

The fourth proportional to 299.70, 448.97 and 184.10 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.70 : 448.97 = 184.10 : x
  2. Step 2: Convert to fraction form
    299.70/448.97 = 184.10/x
  3. Step 3: Cross multiply
    299.70x = 448.97 × 184.10
  4. Step 4: Simplify right side
    299.70x = 82,652.21
  5. Step 5: Solve for x
    x = 82,652.21/299.70
  6. Step 6: Final answer
    x = 275.78

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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.