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Finding the Fourth Proportional to 324.70, 448.07 and 184.81

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Solution

The fourth proportional to 324.70, 448.07 and 184.81 is: 255.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.70 : 448.07 = 184.81 : x
  2. Step 2: Convert to fraction form
    324.70/448.07 = 184.81/x
  3. Step 3: Cross multiply
    324.70x = 448.07 × 184.81
  4. Step 4: Simplify right side
    324.70x = 82,807.82
  5. Step 5: Solve for x
    x = 82,807.82/324.70
  6. Step 6: Final answer
    x = 255.03

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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.