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Finding the Fourth Proportional to 307.78, 460.71 and 163.06

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Solution

The fourth proportional to 307.78, 460.71 and 163.06 is: 244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.78 : 460.71 = 163.06 : x
  2. Step 2: Convert to fraction form
    307.78/460.71 = 163.06/x
  3. Step 3: Cross multiply
    307.78x = 460.71 × 163.06
  4. Step 4: Simplify right side
    307.78x = 75,123.37
  5. Step 5: Solve for x
    x = 75,123.37/307.78
  6. Step 6: Final answer
    x = 244.08

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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.