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Finding the Fourth Proportional to 568.80, 853.12 and 184

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Solution

The fourth proportional to 568.80, 853.12 and 184 is: 275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.80 : 853.12 = 184 : x
  2. Step 2: Convert to fraction form
    568.80/853.12 = 184/x
  3. Step 3: Cross multiply
    568.80x = 853.12 × 184
  4. Step 4: Simplify right side
    568.80x = 156,974.08
  5. Step 5: Solve for x
    x = 156,974.08/568.80
  6. Step 6: Final answer
    x = 275.97

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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.