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Finding the Fourth Proportional to 270.96, 373.77 and 205.26

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Solution

The fourth proportional to 270.96, 373.77 and 205.26 is: 283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.96 : 373.77 = 205.26 : x
  2. Step 2: Convert to fraction form
    270.96/373.77 = 205.26/x
  3. Step 3: Cross multiply
    270.96x = 373.77 × 205.26
  4. Step 4: Simplify right side
    270.96x = 76,720.03
  5. Step 5: Solve for x
    x = 76,720.03/270.96
  6. Step 6: Final answer
    x = 283.14

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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.