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Finding the Fourth Proportional to 568.10, 851.82 and 202.82

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Solution

The fourth proportional to 568.10, 851.82 and 202.82 is: 304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.10 : 851.82 = 202.82 : x
  2. Step 2: Convert to fraction form
    568.10/851.82 = 202.82/x
  3. Step 3: Cross multiply
    568.10x = 851.82 × 202.82
  4. Step 4: Simplify right side
    568.10x = 172,766.13
  5. Step 5: Solve for x
    x = 172,766.13/568.10
  6. Step 6: Final answer
    x = 304.11

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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.