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Finding the Fourth Proportional to 222.26, 306.86 and 156.65

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Solution

The fourth proportional to 222.26, 306.86 and 156.65 is: 216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.26 : 306.86 = 156.65 : x
  2. Step 2: Convert to fraction form
    222.26/306.86 = 156.65/x
  3. Step 3: Cross multiply
    222.26x = 306.86 × 156.65
  4. Step 4: Simplify right side
    222.26x = 48,067.30
  5. Step 5: Solve for x
    x = 48,067.30/222.26
  6. Step 6: Final answer
    x = 216.27

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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.