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Finding the Fourth Proportional to 312.00, 467.85 and 182.04

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Solution

The fourth proportional to 312.00, 467.85 and 182.04 is: 272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.00 : 467.85 = 182.04 : x
  2. Step 2: Convert to fraction form
    312.00/467.85 = 182.04/x
  3. Step 3: Cross multiply
    312.00x = 467.85 × 182.04
  4. Step 4: Simplify right side
    312.00x = 85,165.06
  5. Step 5: Solve for x
    x = 85,165.06/312.00
  6. Step 6: Final answer
    x = 272.97

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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.