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Finding the Fourth Proportional to 261.18, 360.18 and 205.83

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Solution

The fourth proportional to 261.18, 360.18 and 205.83 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.18 : 360.18 = 205.83 : x
  2. Step 2: Convert to fraction form
    261.18/360.18 = 205.83/x
  3. Step 3: Cross multiply
    261.18x = 360.18 × 205.83
  4. Step 4: Simplify right side
    261.18x = 74,135.85
  5. Step 5: Solve for x
    x = 74,135.85/261.18
  6. Step 6: Final answer
    x = 283.85

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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.