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Finding the Fourth Proportional to 263.06, 394.75 and 98.65

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Solution

The fourth proportional to 263.06, 394.75 and 98.65 is: 148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.06 : 394.75 = 98.65 : x
  2. Step 2: Convert to fraction form
    263.06/394.75 = 98.65/x
  3. Step 3: Cross multiply
    263.06x = 394.75 × 98.65
  4. Step 4: Simplify right side
    263.06x = 38,942.09
  5. Step 5: Solve for x
    x = 38,942.09/263.06
  6. Step 6: Final answer
    x = 148.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.