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Finding the Fourth Proportional to 262.19, 361.82 and 145.75

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Solution

The fourth proportional to 262.19, 361.82 and 145.75 is: 201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.19 : 361.82 = 145.75 : x
  2. Step 2: Convert to fraction form
    262.19/361.82 = 145.75/x
  3. Step 3: Cross multiply
    262.19x = 361.82 × 145.75
  4. Step 4: Simplify right side
    262.19x = 52,735.27
  5. Step 5: Solve for x
    x = 52,735.27/262.19
  6. Step 6: Final answer
    x = 201.13

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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.