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Finding the Fourth Proportional to 337.26, 465.54 and 226.83

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Solution

The fourth proportional to 337.26, 465.54 and 226.83 is: 313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.26 : 465.54 = 226.83 : x
  2. Step 2: Convert to fraction form
    337.26/465.54 = 226.83/x
  3. Step 3: Cross multiply
    337.26x = 465.54 × 226.83
  4. Step 4: Simplify right side
    337.26x = 105,598.44
  5. Step 5: Solve for x
    x = 105,598.44/337.26
  6. Step 6: Final answer
    x = 313.11

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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.