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Finding the Fourth Proportional to 343.08, 514.29 and 160.32

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Solution

The fourth proportional to 343.08, 514.29 and 160.32 is: 240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.08 : 514.29 = 160.32 : x
  2. Step 2: Convert to fraction form
    343.08/514.29 = 160.32/x
  3. Step 3: Cross multiply
    343.08x = 514.29 × 160.32
  4. Step 4: Simplify right side
    343.08x = 82,450.97
  5. Step 5: Solve for x
    x = 82,450.97/343.08
  6. Step 6: Final answer
    x = 240.33

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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.