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Finding the Fourth Proportional to 222.64, 333.56 and 194.91

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Solution

The fourth proportional to 222.64, 333.56 and 194.91 is: 292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 333.56 = 194.91 : x
  2. Step 2: Convert to fraction form
    222.64/333.56 = 194.91/x
  3. Step 3: Cross multiply
    222.64x = 333.56 × 194.91
  4. Step 4: Simplify right side
    222.64x = 65,013.42
  5. Step 5: Solve for x
    x = 65,013.42/222.64
  6. Step 6: Final answer
    x = 292.01

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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.