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Finding the Fourth Proportional to 190.55, 287.58 and 185.69

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Solution

The fourth proportional to 190.55, 287.58 and 185.69 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.55 : 287.58 = 185.69 : x
  2. Step 2: Convert to fraction form
    190.55/287.58 = 185.69/x
  3. Step 3: Cross multiply
    190.55x = 287.58 × 185.69
  4. Step 4: Simplify right side
    190.55x = 53,400.73
  5. Step 5: Solve for x
    x = 53,400.73/190.55
  6. Step 6: Final answer
    x = 280.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.