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Finding the Fourth Proportional to 190.32, 263.67 and 186.06

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Solution

The fourth proportional to 190.32, 263.67 and 186.06 is: 257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 263.67 = 186.06 : x
  2. Step 2: Convert to fraction form
    190.32/263.67 = 186.06/x
  3. Step 3: Cross multiply
    190.32x = 263.67 × 186.06
  4. Step 4: Simplify right side
    190.32x = 49,058.44
  5. Step 5: Solve for x
    x = 49,058.44/190.32
  6. Step 6: Final answer
    x = 257.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.