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Finding the Fourth Proportional to 353.36, 487.58 and 206

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Solution

The fourth proportional to 353.36, 487.58 and 206 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.36 : 487.58 = 206 : x
  2. Step 2: Convert to fraction form
    353.36/487.58 = 206/x
  3. Step 3: Cross multiply
    353.36x = 487.58 × 206
  4. Step 4: Simplify right side
    353.36x = 100,441.48
  5. Step 5: Solve for x
    x = 100,441.48/353.36
  6. Step 6: Final answer
    x = 284.25

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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.