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Finding the Fourth Proportional to 190.40, 285.44 and 135.59

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Solution

The fourth proportional to 190.40, 285.44 and 135.59 is: 203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.40 : 285.44 = 135.59 : x
  2. Step 2: Convert to fraction form
    190.40/285.44 = 135.59/x
  3. Step 3: Cross multiply
    190.40x = 285.44 × 135.59
  4. Step 4: Simplify right side
    190.40x = 38,700.70
  5. Step 5: Solve for x
    x = 38,700.70/190.40
  6. Step 6: Final answer
    x = 203.27

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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.