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Finding the Fourth Proportional to 260.93, 360.02 and 198.65

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Solution

The fourth proportional to 260.93, 360.02 and 198.65 is: 274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.93 : 360.02 = 198.65 : x
  2. Step 2: Convert to fraction form
    260.93/360.02 = 198.65/x
  3. Step 3: Cross multiply
    260.93x = 360.02 × 198.65
  4. Step 4: Simplify right side
    260.93x = 71,516.67
  5. Step 5: Solve for x
    x = 71,516.67/260.93
  6. Step 6: Final answer
    x = 274.09

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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.