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Finding the Fourth Proportional to 307.41, 461.22 and 142.96

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Solution

The fourth proportional to 307.41, 461.22 and 142.96 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.41 : 461.22 = 142.96 : x
  2. Step 2: Convert to fraction form
    307.41/461.22 = 142.96/x
  3. Step 3: Cross multiply
    307.41x = 461.22 × 142.96
  4. Step 4: Simplify right side
    307.41x = 65,933.71
  5. Step 5: Solve for x
    x = 65,933.71/307.41
  6. Step 6: Final answer
    x = 214.48

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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.