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Finding the Fourth Proportional to 226.51, 314.02 and 214.80

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Solution

The fourth proportional to 226.51, 314.02 and 214.80 is: 297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.51 : 314.02 = 214.80 : x
  2. Step 2: Convert to fraction form
    226.51/314.02 = 214.80/x
  3. Step 3: Cross multiply
    226.51x = 314.02 × 214.80
  4. Step 4: Simplify right side
    226.51x = 67,451.50
  5. Step 5: Solve for x
    x = 67,451.50/226.51
  6. Step 6: Final answer
    x = 297.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.