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Finding the Fourth Proportional to 262.51, 361.93 and 192.51

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Solution

The fourth proportional to 262.51, 361.93 and 192.51 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.51 : 361.93 = 192.51 : x
  2. Step 2: Convert to fraction form
    262.51/361.93 = 192.51/x
  3. Step 3: Cross multiply
    262.51x = 361.93 × 192.51
  4. Step 4: Simplify right side
    262.51x = 69,675.14
  5. Step 5: Solve for x
    x = 69,675.14/262.51
  6. Step 6: Final answer
    x = 265.42

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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.