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Finding the Fourth Proportional to 568.98, 853.39 and 184.18

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Solution

The fourth proportional to 568.98, 853.39 and 184.18 is: 276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.98 : 853.39 = 184.18 : x
  2. Step 2: Convert to fraction form
    568.98/853.39 = 184.18/x
  3. Step 3: Cross multiply
    568.98x = 853.39 × 184.18
  4. Step 4: Simplify right side
    568.98x = 157,177.37
  5. Step 5: Solve for x
    x = 157,177.37/568.98
  6. Step 6: Final answer
    x = 276.24

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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.