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Finding the Fourth Proportional to 222.70, 306.92 and 152.78

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Solution

The fourth proportional to 222.70, 306.92 and 152.78 is: 210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.70 : 306.92 = 152.78 : x
  2. Step 2: Convert to fraction form
    222.70/306.92 = 152.78/x
  3. Step 3: Cross multiply
    222.70x = 306.92 × 152.78
  4. Step 4: Simplify right side
    222.70x = 46,891.24
  5. Step 5: Solve for x
    x = 46,891.24/222.70
  6. Step 6: Final answer
    x = 210.56

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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.