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Finding the Fourth Proportional to 262.41, 361.75 and 188.59

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Solution

The fourth proportional to 262.41, 361.75 and 188.59 is: 259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.41 : 361.75 = 188.59 : x
  2. Step 2: Convert to fraction form
    262.41/361.75 = 188.59/x
  3. Step 3: Cross multiply
    262.41x = 361.75 × 188.59
  4. Step 4: Simplify right side
    262.41x = 68,222.43
  5. Step 5: Solve for x
    x = 68,222.43/262.41
  6. Step 6: Final answer
    x = 259.98

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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.