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Finding the Fourth Proportional to 307.74, 461.61 and 102.27

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Solution

The fourth proportional to 307.74, 461.61 and 102.27 is: 153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.74 : 461.61 = 102.27 : x
  2. Step 2: Convert to fraction form
    307.74/461.61 = 102.27/x
  3. Step 3: Cross multiply
    307.74x = 461.61 × 102.27
  4. Step 4: Simplify right side
    307.74x = 47,208.85
  5. Step 5: Solve for x
    x = 47,208.85/307.74
  6. Step 6: Final answer
    x = 153.41

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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.