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Finding the Fourth Proportional to 299.86, 448.74 and 184.27

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Solution

The fourth proportional to 299.86, 448.74 and 184.27 is: 275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.86 : 448.74 = 184.27 : x
  2. Step 2: Convert to fraction form
    299.86/448.74 = 184.27/x
  3. Step 3: Cross multiply
    299.86x = 448.74 × 184.27
  4. Step 4: Simplify right side
    299.86x = 82,689.32
  5. Step 5: Solve for x
    x = 82,689.32/299.86
  6. Step 6: Final answer
    x = 275.76

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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.