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Finding the Fourth Proportional to 325.28, 448.84 and 192.48

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Solution

The fourth proportional to 325.28, 448.84 and 192.48 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.28 : 448.84 = 192.48 : x
  2. Step 2: Convert to fraction form
    325.28/448.84 = 192.48/x
  3. Step 3: Cross multiply
    325.28x = 448.84 × 192.48
  4. Step 4: Simplify right side
    325.28x = 86,392.72
  5. Step 5: Solve for x
    x = 86,392.72/325.28
  6. Step 6: Final answer
    x = 265.59

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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.