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Finding the Fourth Proportional to 306.06, 458.48 and 189.96

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Solution

The fourth proportional to 306.06, 458.48 and 189.96 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.06 : 458.48 = 189.96 : x
  2. Step 2: Convert to fraction form
    306.06/458.48 = 189.96/x
  3. Step 3: Cross multiply
    306.06x = 458.48 × 189.96
  4. Step 4: Simplify right side
    306.06x = 87,092.86
  5. Step 5: Solve for x
    x = 87,092.86/306.06
  6. Step 6: Final answer
    x = 284.56

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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.