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Finding the Fourth Proportional to 325.36, 448.32 and 221.68

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Solution

The fourth proportional to 325.36, 448.32 and 221.68 is: 305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.36 : 448.32 = 221.68 : x
  2. Step 2: Convert to fraction form
    325.36/448.32 = 221.68/x
  3. Step 3: Cross multiply
    325.36x = 448.32 × 221.68
  4. Step 4: Simplify right side
    325.36x = 99,383.58
  5. Step 5: Solve for x
    x = 99,383.58/325.36
  6. Step 6: Final answer
    x = 305.46

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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.