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Finding the Fourth Proportional to 342.97, 514.74 and 180.73

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Solution

The fourth proportional to 342.97, 514.74 and 180.73 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.97 : 514.74 = 180.73 : x
  2. Step 2: Convert to fraction form
    342.97/514.74 = 180.73/x
  3. Step 3: Cross multiply
    342.97x = 514.74 × 180.73
  4. Step 4: Simplify right side
    342.97x = 93,028.96
  5. Step 5: Solve for x
    x = 93,028.96/342.97
  6. Step 6: Final answer
    x = 271.25

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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.