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Finding the Fourth Proportional to 262.54, 361.83 and 207.46

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Solution

The fourth proportional to 262.54, 361.83 and 207.46 is: 285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.54 : 361.83 = 207.46 : x
  2. Step 2: Convert to fraction form
    262.54/361.83 = 207.46/x
  3. Step 3: Cross multiply
    262.54x = 361.83 × 207.46
  4. Step 4: Simplify right side
    262.54x = 75,065.25
  5. Step 5: Solve for x
    x = 75,065.25/262.54
  6. Step 6: Final answer
    x = 285.92

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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.