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Finding the Fourth Proportional to 263.09, 394.36 and 109.01

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Solution

The fourth proportional to 263.09, 394.36 and 109.01 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.09 : 394.36 = 109.01 : x
  2. Step 2: Convert to fraction form
    263.09/394.36 = 109.01/x
  3. Step 3: Cross multiply
    263.09x = 394.36 × 109.01
  4. Step 4: Simplify right side
    263.09x = 42,989.18
  5. Step 5: Solve for x
    x = 42,989.18/263.09
  6. Step 6: Final answer
    x = 163.40

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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.