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Finding the Fourth Proportional to 368.93, 552.44 and 205.85

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Solution

The fourth proportional to 368.93, 552.44 and 205.85 is: 308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.93 : 552.44 = 205.85 : x
  2. Step 2: Convert to fraction form
    368.93/552.44 = 205.85/x
  3. Step 3: Cross multiply
    368.93x = 552.44 × 205.85
  4. Step 4: Simplify right side
    368.93x = 113,717.53
  5. Step 5: Solve for x
    x = 113,717.53/368.93
  6. Step 6: Final answer
    x = 308.24

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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.