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Finding the Fourth Proportional to 324.70, 448.09 and 184.83

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Solution

The fourth proportional to 324.70, 448.09 and 184.83 is: 255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.70 : 448.09 = 184.83 : x
  2. Step 2: Convert to fraction form
    324.70/448.09 = 184.83/x
  3. Step 3: Cross multiply
    324.70x = 448.09 × 184.83
  4. Step 4: Simplify right side
    324.70x = 82,818.23
  5. Step 5: Solve for x
    x = 82,818.23/324.70
  6. Step 6: Final answer
    x = 255.06

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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.