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Finding the Fourth Proportional to 224.25, 309.20 and 182.72

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Solution

The fourth proportional to 224.25, 309.20 and 182.72 is: 251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.25 : 309.20 = 182.72 : x
  2. Step 2: Convert to fraction form
    224.25/309.20 = 182.72/x
  3. Step 3: Cross multiply
    224.25x = 309.20 × 182.72
  4. Step 4: Simplify right side
    224.25x = 56,494.56
  5. Step 5: Solve for x
    x = 56,494.56/224.25
  6. Step 6: Final answer
    x = 251.93

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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.