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Finding the Fourth Proportional to 292.94, 439.49 and 171.31

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Solution

The fourth proportional to 292.94, 439.49 and 171.31 is: 257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.94 : 439.49 = 171.31 : x
  2. Step 2: Convert to fraction form
    292.94/439.49 = 171.31/x
  3. Step 3: Cross multiply
    292.94x = 439.49 × 171.31
  4. Step 4: Simplify right side
    292.94x = 75,289.03
  5. Step 5: Solve for x
    x = 75,289.03/292.94
  6. Step 6: Final answer
    x = 257.01

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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.