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Finding the Fourth Proportional to 224.61, 336.93 and 197.74

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Solution

The fourth proportional to 224.61, 336.93 and 197.74 is: 296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.61 : 336.93 = 197.74 : x
  2. Step 2: Convert to fraction form
    224.61/336.93 = 197.74/x
  3. Step 3: Cross multiply
    224.61x = 336.93 × 197.74
  4. Step 4: Simplify right side
    224.61x = 66,623.55
  5. Step 5: Solve for x
    x = 66,623.55/224.61
  6. Step 6: Final answer
    x = 296.63

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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.