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Finding the Fourth Proportional to 307.88, 461.41 and 151.79

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Solution

The fourth proportional to 307.88, 461.41 and 151.79 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.88 : 461.41 = 151.79 : x
  2. Step 2: Convert to fraction form
    307.88/461.41 = 151.79/x
  3. Step 3: Cross multiply
    307.88x = 461.41 × 151.79
  4. Step 4: Simplify right side
    307.88x = 70,034.74
  5. Step 5: Solve for x
    x = 70,034.74/307.88
  6. Step 6: Final answer
    x = 227.48

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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.