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Finding the Fourth Proportional to 226.35, 311.45 and 214.47

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Solution

The fourth proportional to 226.35, 311.45 and 214.47 is: 295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.35 : 311.45 = 214.47 : x
  2. Step 2: Convert to fraction form
    226.35/311.45 = 214.47/x
  3. Step 3: Cross multiply
    226.35x = 311.45 × 214.47
  4. Step 4: Simplify right side
    226.35x = 66,795.61
  5. Step 5: Solve for x
    x = 66,795.61/226.35
  6. Step 6: Final answer
    x = 295.10

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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.