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Finding the Fourth Proportional to 263.36, 394.88 and 101.12

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Solution

The fourth proportional to 263.36, 394.88 and 101.12 is: 151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.36 : 394.88 = 101.12 : x
  2. Step 2: Convert to fraction form
    263.36/394.88 = 101.12/x
  3. Step 3: Cross multiply
    263.36x = 394.88 × 101.12
  4. Step 4: Simplify right side
    263.36x = 39,930.27
  5. Step 5: Solve for x
    x = 39,930.27/263.36
  6. Step 6: Final answer
    x = 151.62

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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.