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Finding the Fourth Proportional to 342.28, 513.74 and 180.12

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Solution

The fourth proportional to 342.28, 513.74 and 180.12 is: 270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.28 : 513.74 = 180.12 : x
  2. Step 2: Convert to fraction form
    342.28/513.74 = 180.12/x
  3. Step 3: Cross multiply
    342.28x = 513.74 × 180.12
  4. Step 4: Simplify right side
    342.28x = 92,534.85
  5. Step 5: Solve for x
    x = 92,534.85/342.28
  6. Step 6: Final answer
    x = 270.35

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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.