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Finding the Fourth Proportional to 312.96, 431.98 and 182.02

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Solution

The fourth proportional to 312.96, 431.98 and 182.02 is: 251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 431.98 = 182.02 : x
  2. Step 2: Convert to fraction form
    312.96/431.98 = 182.02/x
  3. Step 3: Cross multiply
    312.96x = 431.98 × 182.02
  4. Step 4: Simplify right side
    312.96x = 78,629.00
  5. Step 5: Solve for x
    x = 78,629.00/312.96
  6. Step 6: Final answer
    x = 251.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.