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Finding the Fourth Proportional to 190.60, 285.98 and 190.00

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Solution

The fourth proportional to 190.60, 285.98 and 190.00 is: 285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.60 : 285.98 = 190.00 : x
  2. Step 2: Convert to fraction form
    190.60/285.98 = 190.00/x
  3. Step 3: Cross multiply
    190.60x = 285.98 × 190.00
  4. Step 4: Simplify right side
    190.60x = 54,335.07
  5. Step 5: Solve for x
    x = 54,335.07/190.60
  6. Step 6: Final answer
    x = 285.07

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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.