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Finding the Fourth Proportional to 325.02, 448.70 and 226.88

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Solution

The fourth proportional to 325.02, 448.70 and 226.88 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.02 : 448.70 = 226.88 : x
  2. Step 2: Convert to fraction form
    325.02/448.70 = 226.88/x
  3. Step 3: Cross multiply
    325.02x = 448.70 × 226.88
  4. Step 4: Simplify right side
    325.02x = 101,797.68
  5. Step 5: Solve for x
    x = 101,797.68/325.02
  6. Step 6: Final answer
    x = 313.20

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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.