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Finding the Fourth Proportional to 306.37, 458.91 and 190.87

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Solution

The fourth proportional to 306.37, 458.91 and 190.87 is: 285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.37 : 458.91 = 190.87 : x
  2. Step 2: Convert to fraction form
    306.37/458.91 = 190.87/x
  3. Step 3: Cross multiply
    306.37x = 458.91 × 190.87
  4. Step 4: Simplify right side
    306.37x = 87,592.15
  5. Step 5: Solve for x
    x = 87,592.15/306.37
  6. Step 6: Final answer
    x = 285.90

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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.