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Finding the Fourth Proportional to 352.54, 486.42 and 205.10

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Solution

The fourth proportional to 352.54, 486.42 and 205.10 is: 282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.54 : 486.42 = 205.10 : x
  2. Step 2: Convert to fraction form
    352.54/486.42 = 205.10/x
  3. Step 3: Cross multiply
    352.54x = 486.42 × 205.10
  4. Step 4: Simplify right side
    352.54x = 99,764.74
  5. Step 5: Solve for x
    x = 99,764.74/352.54
  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.