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Finding the Fourth Proportional to 312.02, 468.44 and 182.14

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Solution

The fourth proportional to 312.02, 468.44 and 182.14 is: 273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.02 : 468.44 = 182.14 : x
  2. Step 2: Convert to fraction form
    312.02/468.44 = 182.14/x
  3. Step 3: Cross multiply
    312.02x = 468.44 × 182.14
  4. Step 4: Simplify right side
    312.02x = 85,321.66
  5. Step 5: Solve for x
    x = 85,321.66/312.02
  6. Step 6: Final answer
    x = 273.45

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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.