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Finding the Fourth Proportional to 307.37, 460.37 and 185.38

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Solution

The fourth proportional to 307.37, 460.37 and 185.38 is: 277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.37 : 460.37 = 185.38 : x
  2. Step 2: Convert to fraction form
    307.37/460.37 = 185.38/x
  3. Step 3: Cross multiply
    307.37x = 460.37 × 185.38
  4. Step 4: Simplify right side
    307.37x = 85,340.16
  5. Step 5: Solve for x
    x = 85,340.16/307.37
  6. Step 6: Final answer
    x = 277.65

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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.