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Finding the Fourth Proportional to 224.64, 336.96 and 197.64

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Solution

The fourth proportional to 224.64, 336.96 and 197.64 is: 296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.64 : 336.96 = 197.64 : x
  2. Step 2: Convert to fraction form
    224.64/336.96 = 197.64/x
  3. Step 3: Cross multiply
    224.64x = 336.96 × 197.64
  4. Step 4: Simplify right side
    224.64x = 66,596.77
  5. Step 5: Solve for x
    x = 66,596.77/224.64
  6. Step 6: Final answer
    x = 296.46

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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.