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Finding the Fourth Proportional to 263.46, 394.88 and 101.06

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Solution

The fourth proportional to 263.46, 394.88 and 101.06 is: 151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.46 : 394.88 = 101.06 : x
  2. Step 2: Convert to fraction form
    263.46/394.88 = 101.06/x
  3. Step 3: Cross multiply
    263.46x = 394.88 × 101.06
  4. Step 4: Simplify right side
    263.46x = 39,906.57
  5. Step 5: Solve for x
    x = 39,906.57/263.46
  6. Step 6: Final answer
    x = 151.47

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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.