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Finding the Fourth Proportional to 324.86, 448.30 and 192.08

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Solution

The fourth proportional to 324.86, 448.30 and 192.08 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.86 : 448.30 = 192.08 : x
  2. Step 2: Convert to fraction form
    324.86/448.30 = 192.08/x
  3. Step 3: Cross multiply
    324.86x = 448.30 × 192.08
  4. Step 4: Simplify right side
    324.86x = 86,107.22
  5. Step 5: Solve for x
    x = 86,107.22/324.86
  6. Step 6: Final answer
    x = 265.06

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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.