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Finding the Fourth Proportional to 268.59, 370.82 and 213.15

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Solution

The fourth proportional to 268.59, 370.82 and 213.15 is: 294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.59 : 370.82 = 213.15 : x
  2. Step 2: Convert to fraction form
    268.59/370.82 = 213.15/x
  3. Step 3: Cross multiply
    268.59x = 370.82 × 213.15
  4. Step 4: Simplify right side
    268.59x = 79,039.22
  5. Step 5: Solve for x
    x = 79,039.22/268.59
  6. Step 6: Final answer
    x = 294.27

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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.