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Finding the Fourth Proportional to 305.64, 421.86 and 174.73

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Solution

The fourth proportional to 305.64, 421.86 and 174.73 is: 241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 421.86 = 174.73 : x
  2. Step 2: Convert to fraction form
    305.64/421.86 = 174.73/x
  3. Step 3: Cross multiply
    305.64x = 421.86 × 174.73
  4. Step 4: Simplify right side
    305.64x = 73,710.54
  5. Step 5: Solve for x
    x = 73,710.54/305.64
  6. Step 6: Final answer
    x = 241.17

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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.