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Finding the Fourth Proportional to 342.84, 514.38 and 180.41

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Solution

The fourth proportional to 342.84, 514.38 and 180.41 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 514.38 = 180.41 : x
  2. Step 2: Convert to fraction form
    342.84/514.38 = 180.41/x
  3. Step 3: Cross multiply
    342.84x = 514.38 × 180.41
  4. Step 4: Simplify right side
    342.84x = 92,799.30
  5. Step 5: Solve for x
    x = 92,799.30/342.84
  6. Step 6: Final answer
    x = 270.68

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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.