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Finding the Fourth Proportional to 237.82, 357.08 and 222.78

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Solution

The fourth proportional to 237.82, 357.08 and 222.78 is: 334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.82 : 357.08 = 222.78 : x
  2. Step 2: Convert to fraction form
    237.82/357.08 = 222.78/x
  3. Step 3: Cross multiply
    237.82x = 357.08 × 222.78
  4. Step 4: Simplify right side
    237.82x = 79,550.28
  5. Step 5: Solve for x
    x = 79,550.28/237.82
  6. Step 6: Final answer
    x = 334.50

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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.