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Finding the Fourth Proportional to 305.88, 422.07 and 174.84

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Solution

The fourth proportional to 305.88, 422.07 and 174.84 is: 241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.88 : 422.07 = 174.84 : x
  2. Step 2: Convert to fraction form
    305.88/422.07 = 174.84/x
  3. Step 3: Cross multiply
    305.88x = 422.07 × 174.84
  4. Step 4: Simplify right side
    305.88x = 73,794.72
  5. Step 5: Solve for x
    x = 73,794.72/305.88
  6. Step 6: Final answer
    x = 241.25

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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.