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Finding the Fourth Proportional to 262.27, 361.95 and 145.83

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Solution

The fourth proportional to 262.27, 361.95 and 145.83 is: 201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.27 : 361.95 = 145.83 : x
  2. Step 2: Convert to fraction form
    262.27/361.95 = 145.83/x
  3. Step 3: Cross multiply
    262.27x = 361.95 × 145.83
  4. Step 4: Simplify right side
    262.27x = 52,782.76
  5. Step 5: Solve for x
    x = 52,782.76/262.27
  6. Step 6: Final answer
    x = 201.26

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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.