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Finding the Fourth Proportional to 260.84, 360.28 and 195.64

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Solution

The fourth proportional to 260.84, 360.28 and 195.64 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.84 : 360.28 = 195.64 : x
  2. Step 2: Convert to fraction form
    260.84/360.28 = 195.64/x
  3. Step 3: Cross multiply
    260.84x = 360.28 × 195.64
  4. Step 4: Simplify right side
    260.84x = 70,485.18
  5. Step 5: Solve for x
    x = 70,485.18/260.84
  6. Step 6: Final answer
    x = 270.22

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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.