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Finding the Fourth Proportional to 190.59, 285.96 and 113.58

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Solution

The fourth proportional to 190.59, 285.96 and 113.58 is: 170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.59 : 285.96 = 113.58 : x
  2. Step 2: Convert to fraction form
    190.59/285.96 = 113.58/x
  3. Step 3: Cross multiply
    190.59x = 285.96 × 113.58
  4. Step 4: Simplify right side
    190.59x = 32,479.34
  5. Step 5: Solve for x
    x = 32,479.34/190.59
  6. Step 6: Final answer
    x = 170.41

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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.