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Finding the Fourth Proportional to 306.00, 457.91 and 190.50

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Solution

The fourth proportional to 306.00, 457.91 and 190.50 is: 285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.00 : 457.91 = 190.50 : x
  2. Step 2: Convert to fraction form
    306.00/457.91 = 190.50/x
  3. Step 3: Cross multiply
    306.00x = 457.91 × 190.50
  4. Step 4: Simplify right side
    306.00x = 87,229.90
  5. Step 5: Solve for x
    x = 87,229.90/306.00
  6. Step 6: Final answer
    x = 285.07

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Why These Related Problems?

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