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Finding the Fourth Proportional to 268.24, 370.35 and 205.96

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Solution

The fourth proportional to 268.24, 370.35 and 205.96 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.24 : 370.35 = 205.96 : x
  2. Step 2: Convert to fraction form
    268.24/370.35 = 205.96/x
  3. Step 3: Cross multiply
    268.24x = 370.35 × 205.96
  4. Step 4: Simplify right side
    268.24x = 76,276.36
  5. Step 5: Solve for x
    x = 76,276.36/268.24
  6. Step 6: Final answer
    x = 284.36

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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.