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Finding the Fourth Proportional to 224.59, 335.36 and 184.09

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Solution

The fourth proportional to 224.59, 335.36 and 184.09 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.59 : 335.36 = 184.09 : x
  2. Step 2: Convert to fraction form
    224.59/335.36 = 184.09/x
  3. Step 3: Cross multiply
    224.59x = 335.36 × 184.09
  4. Step 4: Simplify right side
    224.59x = 61,736.42
  5. Step 5: Solve for x
    x = 61,736.42/224.59
  6. Step 6: Final answer
    x = 274.89

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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.