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Finding the Fourth Proportional to 262.25, 361.91 and 145.82

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Solution

The fourth proportional to 262.25, 361.91 and 145.82 is: 201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.25 : 361.91 = 145.82 : x
  2. Step 2: Convert to fraction form
    262.25/361.91 = 145.82/x
  3. Step 3: Cross multiply
    262.25x = 361.91 × 145.82
  4. Step 4: Simplify right side
    262.25x = 52,773.72
  5. Step 5: Solve for x
    x = 52,773.72/262.25
  6. Step 6: Final answer
    x = 201.23

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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.