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Finding the Fourth Proportional to 262.06, 392.91 and 107.94

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Solution

The fourth proportional to 262.06, 392.91 and 107.94 is: 161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.06 : 392.91 = 107.94 : x
  2. Step 2: Convert to fraction form
    262.06/392.91 = 107.94/x
  3. Step 3: Cross multiply
    262.06x = 392.91 × 107.94
  4. Step 4: Simplify right side
    262.06x = 42,410.71
  5. Step 5: Solve for x
    x = 42,410.71/262.06
  6. Step 6: Final answer
    x = 161.84

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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.