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Finding the Fourth Proportional to 368.30, 552.45 and 205.98

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Solution

The fourth proportional to 368.30, 552.45 and 205.98 is: 308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.30 : 552.45 = 205.98 : x
  2. Step 2: Convert to fraction form
    368.30/552.45 = 205.98/x
  3. Step 3: Cross multiply
    368.30x = 552.45 × 205.98
  4. Step 4: Simplify right side
    368.30x = 113,792.94
  5. Step 5: Solve for x
    x = 113,792.94/368.30
  6. Step 6: Final answer
    x = 308.97

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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.