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Finding the Fourth Proportional to 305.89, 422.07 and 174.89

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Solution

The fourth proportional to 305.89, 422.07 and 174.89 is: 241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.89 : 422.07 = 174.89 : x
  2. Step 2: Convert to fraction form
    305.89/422.07 = 174.89/x
  3. Step 3: Cross multiply
    305.89x = 422.07 × 174.89
  4. Step 4: Simplify right side
    305.89x = 73,815.82
  5. Step 5: Solve for x
    x = 73,815.82/305.89
  6. Step 6: Final answer
    x = 241.31

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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.