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Finding the Fourth Proportional to 262.88, 394.04 and 134.48

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Solution

The fourth proportional to 262.88, 394.04 and 134.48 is: 201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.88 : 394.04 = 134.48 : x
  2. Step 2: Convert to fraction form
    262.88/394.04 = 134.48/x
  3. Step 3: Cross multiply
    262.88x = 394.04 × 134.48
  4. Step 4: Simplify right side
    262.88x = 52,990.50
  5. Step 5: Solve for x
    x = 52,990.50/262.88
  6. Step 6: Final answer
    x = 201.58

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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.