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Finding the Fourth Proportional to 312.98, 431.94 and 180.25

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Solution

The fourth proportional to 312.98, 431.94 and 180.25 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.98 : 431.94 = 180.25 : x
  2. Step 2: Convert to fraction form
    312.98/431.94 = 180.25/x
  3. Step 3: Cross multiply
    312.98x = 431.94 × 180.25
  4. Step 4: Simplify right side
    312.98x = 77,854.12
  5. Step 5: Solve for x
    x = 77,854.12/312.98
  6. Step 6: Final answer
    x = 248.75

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