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Finding the Fourth Proportional to 262.56, 393.84 and 80.00

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Solution

The fourth proportional to 262.56, 393.84 and 80.00 is: 119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.56 : 393.84 = 80.00 : x
  2. Step 2: Convert to fraction form
    262.56/393.84 = 80.00/x
  3. Step 3: Cross multiply
    262.56x = 393.84 × 80.00
  4. Step 4: Simplify right side
    262.56x = 31,505.23
  5. Step 5: Solve for x
    x = 31,505.23/262.56
  6. Step 6: Final answer
    x = 119.99

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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.