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Finding the Fourth Proportional to 262.38, 361.60 and 188.57

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Solution

The fourth proportional to 262.38, 361.60 and 188.57 is: 259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.38 : 361.60 = 188.57 : x
  2. Step 2: Convert to fraction form
    262.38/361.60 = 188.57/x
  3. Step 3: Cross multiply
    262.38x = 361.60 × 188.57
  4. Step 4: Simplify right side
    262.38x = 68,187.34
  5. Step 5: Solve for x
    x = 68,187.34/262.38
  6. Step 6: Final answer
    x = 259.88

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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.