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Finding the Fourth Proportional to 307.67, 461.12 and 153.36

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Solution

The fourth proportional to 307.67, 461.12 and 153.36 is: 229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.67 : 461.12 = 153.36 : x
  2. Step 2: Convert to fraction form
    307.67/461.12 = 153.36/x
  3. Step 3: Cross multiply
    307.67x = 461.12 × 153.36
  4. Step 4: Simplify right side
    307.67x = 70,716.60
  5. Step 5: Solve for x
    x = 70,716.60/307.67
  6. Step 6: Final answer
    x = 229.85

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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.