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Finding the Fourth Proportional to 190.64, 286.04 and 139.70

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Solution

The fourth proportional to 190.64, 286.04 and 139.70 is: 209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.64 : 286.04 = 139.70 : x
  2. Step 2: Convert to fraction form
    190.64/286.04 = 139.70/x
  3. Step 3: Cross multiply
    190.64x = 286.04 × 139.70
  4. Step 4: Simplify right side
    190.64x = 39,959.65
  5. Step 5: Solve for x
    x = 39,959.65/190.64
  6. Step 6: Final answer
    x = 209.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.