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Finding the Fourth Proportional to 264.25, 366.22 and 260.20

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Solution

The fourth proportional to 264.25, 366.22 and 260.20 is: 360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.25 : 366.22 = 260.20 : x
  2. Step 2: Convert to fraction form
    264.25/366.22 = 260.20/x
  3. Step 3: Cross multiply
    264.25x = 366.22 × 260.20
  4. Step 4: Simplify right side
    264.25x = 95,290.44
  5. Step 5: Solve for x
    x = 95,290.44/264.25
  6. Step 6: Final answer
    x = 360.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.