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Finding the Fourth Proportional to 270.88, 373.86 and 205.26

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Solution

The fourth proportional to 270.88, 373.86 and 205.26 is: 283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.88 : 373.86 = 205.26 : x
  2. Step 2: Convert to fraction form
    270.88/373.86 = 205.26/x
  3. Step 3: Cross multiply
    270.88x = 373.86 × 205.26
  4. Step 4: Simplify right side
    270.88x = 76,738.50
  5. Step 5: Solve for x
    x = 76,738.50/270.88
  6. Step 6: Final answer
    x = 283.29

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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.