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Finding the Fourth Proportional to 222.69, 335.70 and 207.82

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Solution

The fourth proportional to 222.69, 335.70 and 207.82 is: 313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.69 : 335.70 = 207.82 : x
  2. Step 2: Convert to fraction form
    222.69/335.70 = 207.82/x
  3. Step 3: Cross multiply
    222.69x = 335.70 × 207.82
  4. Step 4: Simplify right side
    222.69x = 69,765.17
  5. Step 5: Solve for x
    x = 69,765.17/222.69
  6. Step 6: Final answer
    x = 313.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.