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Finding the Fourth Proportional to 307.93, 461.44 and 143.45

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Solution

The fourth proportional to 307.93, 461.44 and 143.45 is: 214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.93 : 461.44 = 143.45 : x
  2. Step 2: Convert to fraction form
    307.93/461.44 = 143.45/x
  3. Step 3: Cross multiply
    307.93x = 461.44 × 143.45
  4. Step 4: Simplify right side
    307.93x = 66,193.57
  5. Step 5: Solve for x
    x = 66,193.57/307.93
  6. Step 6: Final answer
    x = 214.96

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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.