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Finding the Fourth Proportional to 306.99, 460.17 and 162.81

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Solution

The fourth proportional to 306.99, 460.17 and 162.81 is: 244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.99 : 460.17 = 162.81 : x
  2. Step 2: Convert to fraction form
    306.99/460.17 = 162.81/x
  3. Step 3: Cross multiply
    306.99x = 460.17 × 162.81
  4. Step 4: Simplify right side
    306.99x = 74,920.28
  5. Step 5: Solve for x
    x = 74,920.28/306.99
  6. Step 6: Final answer
    x = 244.05

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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.