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Finding the Fourth Proportional to 341.71, 512.71 and 168.38

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Solution

The fourth proportional to 341.71, 512.71 and 168.38 is: 252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.71 : 512.71 = 168.38 : x
  2. Step 2: Convert to fraction form
    341.71/512.71 = 168.38/x
  3. Step 3: Cross multiply
    341.71x = 512.71 × 168.38
  4. Step 4: Simplify right side
    341.71x = 86,331.20
  5. Step 5: Solve for x
    x = 86,331.20/341.71
  6. Step 6: Final answer
    x = 252.64

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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.