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Finding the Fourth Proportional to 263.26, 394.78 and 98.74

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Solution

The fourth proportional to 263.26, 394.78 and 98.74 is: 148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.26 : 394.78 = 98.74 : x
  2. Step 2: Convert to fraction form
    263.26/394.78 = 98.74/x
  3. Step 3: Cross multiply
    263.26x = 394.78 × 98.74
  4. Step 4: Simplify right side
    263.26x = 38,980.58
  5. Step 5: Solve for x
    x = 38,980.58/263.26
  6. Step 6: Final answer
    x = 148.07

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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.