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Finding the Fourth Proportional to 307.77, 461.81 and 143.23

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Solution

The fourth proportional to 307.77, 461.81 and 143.23 is: 214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.77 : 461.81 = 143.23 : x
  2. Step 2: Convert to fraction form
    307.77/461.81 = 143.23/x
  3. Step 3: Cross multiply
    307.77x = 461.81 × 143.23
  4. Step 4: Simplify right side
    307.77x = 66,145.05
  5. Step 5: Solve for x
    x = 66,145.05/307.77
  6. Step 6: Final answer
    x = 214.92

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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.