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Finding the Fourth Proportional to 307.24, 460.78 and 185.54

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Solution

The fourth proportional to 307.24, 460.78 and 185.54 is: 278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.24 : 460.78 = 185.54 : x
  2. Step 2: Convert to fraction form
    307.24/460.78 = 185.54/x
  3. Step 3: Cross multiply
    307.24x = 460.78 × 185.54
  4. Step 4: Simplify right side
    307.24x = 85,493.12
  5. Step 5: Solve for x
    x = 85,493.12/307.24
  6. Step 6: Final answer
    x = 278.26

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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.