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Finding the Fourth Proportional to 307.65, 461.17 and 143.29

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Solution

The fourth proportional to 307.65, 461.17 and 143.29 is: 214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.65 : 461.17 = 143.29 : x
  2. Step 2: Convert to fraction form
    307.65/461.17 = 143.29/x
  3. Step 3: Cross multiply
    307.65x = 461.17 × 143.29
  4. Step 4: Simplify right side
    307.65x = 66,081.05
  5. Step 5: Solve for x
    x = 66,081.05/307.65
  6. Step 6: Final answer
    x = 214.79

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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.