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Finding the Fourth Proportional to 325.18, 448.68 and 225.44

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Solution

The fourth proportional to 325.18, 448.68 and 225.44 is: 311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.18 : 448.68 = 225.44 : x
  2. Step 2: Convert to fraction form
    325.18/448.68 = 225.44/x
  3. Step 3: Cross multiply
    325.18x = 448.68 × 225.44
  4. Step 4: Simplify right side
    325.18x = 101,150.42
  5. Step 5: Solve for x
    x = 101,150.42/325.18
  6. Step 6: Final answer
    x = 311.06

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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.