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Finding the Fourth Proportional to 568.86, 853.22 and 178.85

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Solution

The fourth proportional to 568.86, 853.22 and 178.85 is: 268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.86 : 853.22 = 178.85 : x
  2. Step 2: Convert to fraction form
    568.86/853.22 = 178.85/x
  3. Step 3: Cross multiply
    568.86x = 853.22 × 178.85
  4. Step 4: Simplify right side
    568.86x = 152,594.58
  5. Step 5: Solve for x
    x = 152,594.58/568.86
  6. Step 6: Final answer
    x = 268.25

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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.