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Finding the Fourth Proportional to 306.94, 460.00 and 170.05

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Solution

The fourth proportional to 306.94, 460.00 and 170.05 is: 254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.94 : 460.00 = 170.05 : x
  2. Step 2: Convert to fraction form
    306.94/460.00 = 170.05/x
  3. Step 3: Cross multiply
    306.94x = 460.00 × 170.05
  4. Step 4: Simplify right side
    306.94x = 78,222.06
  5. Step 5: Solve for x
    x = 78,222.06/306.94
  6. Step 6: Final answer
    x = 254.85

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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.