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Finding the Fourth Proportional to 268.09, 370.15 and 205.81

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Solution

The fourth proportional to 268.09, 370.15 and 205.81 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.09 : 370.15 = 205.81 : x
  2. Step 2: Convert to fraction form
    268.09/370.15 = 205.81/x
  3. Step 3: Cross multiply
    268.09x = 370.15 × 205.81
  4. Step 4: Simplify right side
    268.09x = 76,181.21
  5. Step 5: Solve for x
    x = 76,181.21/268.09
  6. Step 6: Final answer
    x = 284.16

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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.