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Finding the Fourth Proportional to 256.04, 352.52 and 226.09

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Solution

The fourth proportional to 256.04, 352.52 and 226.09 is: 311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.04 : 352.52 = 226.09 : x
  2. Step 2: Convert to fraction form
    256.04/352.52 = 226.09/x
  3. Step 3: Cross multiply
    256.04x = 352.52 × 226.09
  4. Step 4: Simplify right side
    256.04x = 79,701.25
  5. Step 5: Solve for x
    x = 79,701.25/256.04
  6. Step 6: Final answer
    x = 311.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.