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Finding the Fourth Proportional to 352.51, 486.38 and 205.11

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Solution

The fourth proportional to 352.51, 486.38 and 205.11 is: 282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.51 : 486.38 = 205.11 : x
  2. Step 2: Convert to fraction form
    352.51/486.38 = 205.11/x
  3. Step 3: Cross multiply
    352.51x = 486.38 × 205.11
  4. Step 4: Simplify right side
    352.51x = 99,757.94
  5. Step 5: Solve for x
    x = 99,757.94/352.51
  6. Step 6: Final answer
    x = 282.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.