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Finding the Fourth Proportional to 222.66, 306.97 and 185.34

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Solution

The fourth proportional to 222.66, 306.97 and 185.34 is: 255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.66 : 306.97 = 185.34 : x
  2. Step 2: Convert to fraction form
    222.66/306.97 = 185.34/x
  3. Step 3: Cross multiply
    222.66x = 306.97 × 185.34
  4. Step 4: Simplify right side
    222.66x = 56,893.82
  5. Step 5: Solve for x
    x = 56,893.82/222.66
  6. Step 6: Final answer
    x = 255.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.