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Finding the Fourth Proportional to 352.53, 486.53 and 205.11

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Solution

The fourth proportional to 352.53, 486.53 and 205.11 is: 283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.53 : 486.53 = 205.11 : x
  2. Step 2: Convert to fraction form
    352.53/486.53 = 205.11/x
  3. Step 3: Cross multiply
    352.53x = 486.53 × 205.11
  4. Step 4: Simplify right side
    352.53x = 99,791.14
  5. Step 5: Solve for x
    x = 99,791.14/352.53
  6. Step 6: Final answer
    x = 283.07

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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.