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Finding the Fourth Proportional to 262.70, 361.59 and 184.94

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Solution

The fourth proportional to 262.70, 361.59 and 184.94 is: 254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.70 : 361.59 = 184.94 : x
  2. Step 2: Convert to fraction form
    262.70/361.59 = 184.94/x
  3. Step 3: Cross multiply
    262.70x = 361.59 × 184.94
  4. Step 4: Simplify right side
    262.70x = 66,872.45
  5. Step 5: Solve for x
    x = 66,872.45/262.70
  6. Step 6: Final answer
    x = 254.56

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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.