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Finding the Fourth Proportional to 307.68, 461.49 and 102.33

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Solution

The fourth proportional to 307.68, 461.49 and 102.33 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 461.49 = 102.33 : x
  2. Step 2: Convert to fraction form
    307.68/461.49 = 102.33/x
  3. Step 3: Cross multiply
    307.68x = 461.49 × 102.33
  4. Step 4: Simplify right side
    307.68x = 47,224.27
  5. Step 5: Solve for x
    x = 47,224.27/307.68
  6. Step 6: Final answer
    x = 153.49

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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.