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Finding the Fourth Proportional to 262.13, 361.60 and 195.84

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Solution

The fourth proportional to 262.13, 361.60 and 195.84 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.13 : 361.60 = 195.84 : x
  2. Step 2: Convert to fraction form
    262.13/361.60 = 195.84/x
  3. Step 3: Cross multiply
    262.13x = 361.60 × 195.84
  4. Step 4: Simplify right side
    262.13x = 70,815.25
  5. Step 5: Solve for x
    x = 70,815.25/262.13
  6. Step 6: Final answer
    x = 270.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.