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Finding the Fourth Proportional to 568.82, 853.25 and 222.14

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Solution

The fourth proportional to 568.82, 853.25 and 222.14 is: 333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.82 : 853.25 = 222.14 : x
  2. Step 2: Convert to fraction form
    568.82/853.25 = 222.14/x
  3. Step 3: Cross multiply
    568.82x = 853.25 × 222.14
  4. Step 4: Simplify right side
    568.82x = 189,544.71
  5. Step 5: Solve for x
    x = 189,544.71/568.82
  6. Step 6: Final answer
    x = 333.22

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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.