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Finding the Fourth Proportional to 262.04, 393.41 and 185.04

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Solution

The fourth proportional to 262.04, 393.41 and 185.04 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.04 : 393.41 = 185.04 : x
  2. Step 2: Convert to fraction form
    262.04/393.41 = 185.04/x
  3. Step 3: Cross multiply
    262.04x = 393.41 × 185.04
  4. Step 4: Simplify right side
    262.04x = 72,796.59
  5. Step 5: Solve for x
    x = 72,796.59/262.04
  6. Step 6: Final answer
    x = 277.81

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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.