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Finding the Fourth Proportional to 306.86, 460.04 and 169.91

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Solution

The fourth proportional to 306.86, 460.04 and 169.91 is: 254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.86 : 460.04 = 169.91 : x
  2. Step 2: Convert to fraction form
    306.86/460.04 = 169.91/x
  3. Step 3: Cross multiply
    306.86x = 460.04 × 169.91
  4. Step 4: Simplify right side
    306.86x = 78,164.55
  5. Step 5: Solve for x
    x = 78,164.55/306.86
  6. Step 6: Final answer
    x = 254.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.