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Finding the Fourth Proportional to 222.75, 334.53 and 197.64

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Solution

The fourth proportional to 222.75, 334.53 and 197.64 is: 296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.75 : 334.53 = 197.64 : x
  2. Step 2: Convert to fraction form
    222.75/334.53 = 197.64/x
  3. Step 3: Cross multiply
    222.75x = 334.53 × 197.64
  4. Step 4: Simplify right side
    222.75x = 66,116.51
  5. Step 5: Solve for x
    x = 66,116.51/222.75
  6. Step 6: Final answer
    x = 296.82

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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.