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Finding the Fourth Proportional to 190.07, 286.47 and 190.07

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Solution

The fourth proportional to 190.07, 286.47 and 190.07 is: 286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.07 : 286.47 = 190.07 : x
  2. Step 2: Convert to fraction form
    190.07/286.47 = 190.07/x
  3. Step 3: Cross multiply
    190.07x = 286.47 × 190.07
  4. Step 4: Simplify right side
    190.07x = 54,449.35
  5. Step 5: Solve for x
    x = 54,449.35/190.07
  6. Step 6: Final answer
    x = 286.47

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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.