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Finding the Fourth Proportional to 324.83, 448.27 and 184.94

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Solution

The fourth proportional to 324.83, 448.27 and 184.94 is: 255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.83 : 448.27 = 184.94 : x
  2. Step 2: Convert to fraction form
    324.83/448.27 = 184.94/x
  3. Step 3: Cross multiply
    324.83x = 448.27 × 184.94
  4. Step 4: Simplify right side
    324.83x = 82,903.05
  5. Step 5: Solve for x
    x = 82,903.05/324.83
  6. Step 6: Final answer
    x = 255.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.