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Finding the Fourth Proportional to 275.12, 379.36 and 205.22

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Solution

The fourth proportional to 275.12, 379.36 and 205.22 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 379.36 = 205.22 : x
  2. Step 2: Convert to fraction form
    275.12/379.36 = 205.22/x
  3. Step 3: Cross multiply
    275.12x = 379.36 × 205.22
  4. Step 4: Simplify right side
    275.12x = 77,852.26
  5. Step 5: Solve for x
    x = 77,852.26/275.12
  6. Step 6: Final answer
    x = 282.98

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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.