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Finding the Fourth Proportional to 224.73, 337.21 and 152.44

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Solution

The fourth proportional to 224.73, 337.21 and 152.44 is: 228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.73 : 337.21 = 152.44 : x
  2. Step 2: Convert to fraction form
    224.73/337.21 = 152.44/x
  3. Step 3: Cross multiply
    224.73x = 337.21 × 152.44
  4. Step 4: Simplify right side
    224.73x = 51,403.07
  5. Step 5: Solve for x
    x = 51,403.07/224.73
  6. Step 6: Final answer
    x = 228.73

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Why These Related Problems?

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