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Finding the Fourth Proportional to 224.78, 334.94 and 214.45

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Solution

The fourth proportional to 224.78, 334.94 and 214.45 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.78 : 334.94 = 214.45 : x
  2. Step 2: Convert to fraction form
    224.78/334.94 = 214.45/x
  3. Step 3: Cross multiply
    224.78x = 334.94 × 214.45
  4. Step 4: Simplify right side
    224.78x = 71,825.97
  5. Step 5: Solve for x
    x = 71,825.97/224.78
  6. Step 6: Final answer
    x = 319.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.