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Finding the Fourth Proportional to 306.41, 459.84 and 169.57

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Solution

The fourth proportional to 306.41, 459.84 and 169.57 is: 254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 459.84 = 169.57 : x
  2. Step 2: Convert to fraction form
    306.41/459.84 = 169.57/x
  3. Step 3: Cross multiply
    306.41x = 459.84 × 169.57
  4. Step 4: Simplify right side
    306.41x = 77,976.28
  5. Step 5: Solve for x
    x = 77,976.28/306.41
  6. Step 6: Final answer
    x = 254.48

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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.