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Finding the Fourth Proportional to 307.46, 461.03 and 185.66

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Solution

The fourth proportional to 307.46, 461.03 and 185.66 is: 278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.46 : 461.03 = 185.66 : x
  2. Step 2: Convert to fraction form
    307.46/461.03 = 185.66/x
  3. Step 3: Cross multiply
    307.46x = 461.03 × 185.66
  4. Step 4: Simplify right side
    307.46x = 85,592.99
  5. Step 5: Solve for x
    x = 85,592.99/307.46
  6. Step 6: Final answer
    x = 278.39

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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.