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Finding the Fourth Proportional to 343.23, 514.14 and 180.57

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Solution

The fourth proportional to 343.23, 514.14 and 180.57 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.23 : 514.14 = 180.57 : x
  2. Step 2: Convert to fraction form
    343.23/514.14 = 180.57/x
  3. Step 3: Cross multiply
    343.23x = 514.14 × 180.57
  4. Step 4: Simplify right side
    343.23x = 92,838.26
  5. Step 5: Solve for x
    x = 92,838.26/343.23
  6. Step 6: Final answer
    x = 270.48

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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.