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Finding the Fourth Proportional to 268.34, 370.48 and 206.05

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Solution

The fourth proportional to 268.34, 370.48 and 206.05 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.34 : 370.48 = 206.05 : x
  2. Step 2: Convert to fraction form
    268.34/370.48 = 206.05/x
  3. Step 3: Cross multiply
    268.34x = 370.48 × 206.05
  4. Step 4: Simplify right side
    268.34x = 76,335.96
  5. Step 5: Solve for x
    x = 76,335.96/268.34
  6. Step 6: Final answer
    x = 284.48

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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.