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Finding the Fourth Proportional to 353.15, 487.08 and 205.77

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Solution

The fourth proportional to 353.15, 487.08 and 205.77 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.15 : 487.08 = 205.77 : x
  2. Step 2: Convert to fraction form
    353.15/487.08 = 205.77/x
  3. Step 3: Cross multiply
    353.15x = 487.08 × 205.77
  4. Step 4: Simplify right side
    353.15x = 100,226.45
  5. Step 5: Solve for x
    x = 100,226.45/353.15
  6. Step 6: Final answer
    x = 283.81

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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.