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Finding the Fourth Proportional to 261.12, 360.12 and 205.77

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Solution

The fourth proportional to 261.12, 360.12 and 205.77 is: 283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.12 : 360.12 = 205.77 : x
  2. Step 2: Convert to fraction form
    261.12/360.12 = 205.77/x
  3. Step 3: Cross multiply
    261.12x = 360.12 × 205.77
  4. Step 4: Simplify right side
    261.12x = 74,100.09
  5. Step 5: Solve for x
    x = 74,100.09/261.12
  6. Step 6: Final answer
    x = 283.78

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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.