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Finding the Fourth Proportional to 261.38, 360.28 and 205.26

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Solution

The fourth proportional to 261.38, 360.28 and 205.26 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 360.28 = 205.26 : x
  2. Step 2: Convert to fraction form
    261.38/360.28 = 205.26/x
  3. Step 3: Cross multiply
    261.38x = 360.28 × 205.26
  4. Step 4: Simplify right side
    261.38x = 73,951.07
  5. Step 5: Solve for x
    x = 73,951.07/261.38
  6. Step 6: Final answer
    x = 282.93

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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.