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Finding the Fourth Proportional to 224.08, 336.30 and 121.48

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Solution

The fourth proportional to 224.08, 336.30 and 121.48 is: 182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.08 : 336.30 = 121.48 : x
  2. Step 2: Convert to fraction form
    224.08/336.30 = 121.48/x
  3. Step 3: Cross multiply
    224.08x = 336.30 × 121.48
  4. Step 4: Simplify right side
    224.08x = 40,853.72
  5. Step 5: Solve for x
    x = 40,853.72/224.08
  6. Step 6: Final answer
    x = 182.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.