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Finding the Fourth Proportional to 293.19, 439.86 and 171.56

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Solution

The fourth proportional to 293.19, 439.86 and 171.56 is: 257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.19 : 439.86 = 171.56 : x
  2. Step 2: Convert to fraction form
    293.19/439.86 = 171.56/x
  3. Step 3: Cross multiply
    293.19x = 439.86 × 171.56
  4. Step 4: Simplify right side
    293.19x = 75,460.18
  5. Step 5: Solve for x
    x = 75,460.18/293.19
  6. Step 6: Final answer
    x = 257.38

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Why These Related Problems?

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