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Finding the Fourth Proportional to 314.49, 471.42 and 170.31

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Solution

The fourth proportional to 314.49, 471.42 and 170.31 is: 255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.49 : 471.42 = 170.31 : x
  2. Step 2: Convert to fraction form
    314.49/471.42 = 170.31/x
  3. Step 3: Cross multiply
    314.49x = 471.42 × 170.31
  4. Step 4: Simplify right side
    314.49x = 80,287.54
  5. Step 5: Solve for x
    x = 80,287.54/314.49
  6. Step 6: Final answer
    x = 255.29

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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.