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Finding the Fourth Proportional to 352.94, 487.16 and 205.64

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Solution

The fourth proportional to 352.94, 487.16 and 205.64 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.94 : 487.16 = 205.64 : x
  2. Step 2: Convert to fraction form
    352.94/487.16 = 205.64/x
  3. Step 3: Cross multiply
    352.94x = 487.16 × 205.64
  4. Step 4: Simplify right side
    352.94x = 100,179.58
  5. Step 5: Solve for x
    x = 100,179.58/352.94
  6. Step 6: Final answer
    x = 283.84

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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.