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Finding the Fourth Proportional to 368.06, 552.23 and 205.85

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Solution

The fourth proportional to 368.06, 552.23 and 205.85 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.06 : 552.23 = 205.85 : x
  2. Step 2: Convert to fraction form
    368.06/552.23 = 205.85/x
  3. Step 3: Cross multiply
    368.06x = 552.23 × 205.85
  4. Step 4: Simplify right side
    368.06x = 113,672.76
  5. Step 5: Solve for x
    x = 113,672.76/368.06
  6. Step 6: Final answer
    x = 308.85

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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.