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Finding the Fourth Proportional to 190.32, 283.67 and 180.06

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Solution

The fourth proportional to 190.32, 283.67 and 180.06 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 283.67 = 180.06 : x
  2. Step 2: Convert to fraction form
    190.32/283.67 = 180.06/x
  3. Step 3: Cross multiply
    190.32x = 283.67 × 180.06
  4. Step 4: Simplify right side
    190.32x = 51,076.72
  5. Step 5: Solve for x
    x = 51,076.72/190.32
  6. Step 6: Final answer
    x = 268.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.