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Finding the Fourth Proportional to 305.78, 458.94 and 189.86

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Solution

The fourth proportional to 305.78, 458.94 and 189.86 is: 284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.78 : 458.94 = 189.86 : x
  2. Step 2: Convert to fraction form
    305.78/458.94 = 189.86/x
  3. Step 3: Cross multiply
    305.78x = 458.94 × 189.86
  4. Step 4: Simplify right side
    305.78x = 87,134.35
  5. Step 5: Solve for x
    x = 87,134.35/305.78
  6. Step 6: Final answer
    x = 284.96

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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.