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Finding the Fourth Proportional to 549.38, 823.82 and 202.66

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Solution

The fourth proportional to 549.38, 823.82 and 202.66 is: 303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.38 : 823.82 = 202.66 : x
  2. Step 2: Convert to fraction form
    549.38/823.82 = 202.66/x
  3. Step 3: Cross multiply
    549.38x = 823.82 × 202.66
  4. Step 4: Simplify right side
    549.38x = 166,951.24
  5. Step 5: Solve for x
    x = 166,951.24/549.38
  6. Step 6: Final answer
    x = 303.89

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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.