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Finding the Fourth Proportional to 306.78, 459.90 and 169.74

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Solution

The fourth proportional to 306.78, 459.90 and 169.74 is: 254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 459.90 = 169.74 : x
  2. Step 2: Convert to fraction form
    306.78/459.90 = 169.74/x
  3. Step 3: Cross multiply
    306.78x = 459.90 × 169.74
  4. Step 4: Simplify right side
    306.78x = 78,063.43
  5. Step 5: Solve for x
    x = 78,063.43/306.78
  6. Step 6: Final answer
    x = 254.46

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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.