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Finding the Fourth Proportional to 293.57, 440.30 and 171.77

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Solution

The fourth proportional to 293.57, 440.30 and 171.77 is: 257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.57 : 440.30 = 171.77 : x
  2. Step 2: Convert to fraction form
    293.57/440.30 = 171.77/x
  3. Step 3: Cross multiply
    293.57x = 440.30 × 171.77
  4. Step 4: Simplify right side
    293.57x = 75,627.27
  5. Step 5: Solve for x
    x = 75,627.27/293.57
  6. Step 6: Final answer
    x = 257.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.