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Finding the Fourth Proportional to 368.63, 552.83 and 185.97

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Solution

The fourth proportional to 368.63, 552.83 and 185.97 is: 278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.63 : 552.83 = 185.97 : x
  2. Step 2: Convert to fraction form
    368.63/552.83 = 185.97/x
  3. Step 3: Cross multiply
    368.63x = 552.83 × 185.97
  4. Step 4: Simplify right side
    368.63x = 102,809.38
  5. Step 5: Solve for x
    x = 102,809.38/368.63
  6. Step 6: Final answer
    x = 278.90

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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.