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Finding the Fourth Proportional to 190.81, 283.82 and 175.33

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Solution

The fourth proportional to 190.81, 283.82 and 175.33 is: 260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.81 : 283.82 = 175.33 : x
  2. Step 2: Convert to fraction form
    190.81/283.82 = 175.33/x
  3. Step 3: Cross multiply
    190.81x = 283.82 × 175.33
  4. Step 4: Simplify right side
    190.81x = 49,762.16
  5. Step 5: Solve for x
    x = 49,762.16/190.81
  6. Step 6: Final answer
    x = 260.79

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