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Finding the Fourth Proportional to 222, 306.06 and 162.94

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Solution

The fourth proportional to 222, 306.06 and 162.94 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222 : 306.06 = 162.94 : x
  2. Step 2: Convert to fraction form
    222/306.06 = 162.94/x
  3. Step 3: Cross multiply
    222x = 306.06 × 162.94
  4. Step 4: Simplify right side
    222x = 49,869.42
  5. Step 5: Solve for x
    x = 49,869.42/222
  6. Step 6: Final answer
    x = 224.64

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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.