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Finding the Fourth Proportional to 368.83, 552.97 and 206.56

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Solution

The fourth proportional to 368.83, 552.97 and 206.56 is: 309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.83 : 552.97 = 206.56 : x
  2. Step 2: Convert to fraction form
    368.83/552.97 = 206.56/x
  3. Step 3: Cross multiply
    368.83x = 552.97 × 206.56
  4. Step 4: Simplify right side
    368.83x = 114,221.48
  5. Step 5: Solve for x
    x = 114,221.48/368.83
  6. Step 6: Final answer
    x = 309.69

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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.