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Finding the Fourth Proportional to 311.10, 468.44 and 225.01

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Solution

The fourth proportional to 311.10, 468.44 and 225.01 is: 338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.10 : 468.44 = 225.01 : x
  2. Step 2: Convert to fraction form
    311.10/468.44 = 225.01/x
  3. Step 3: Cross multiply
    311.10x = 468.44 × 225.01
  4. Step 4: Simplify right side
    311.10x = 105,403.68
  5. Step 5: Solve for x
    x = 105,403.68/311.10
  6. Step 6: Final answer
    x = 338.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.