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Finding the Fourth Proportional to 342.56, 513.70 and 180.20

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Solution

The fourth proportional to 342.56, 513.70 and 180.20 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.56 : 513.70 = 180.20 : x
  2. Step 2: Convert to fraction form
    342.56/513.70 = 180.20/x
  3. Step 3: Cross multiply
    342.56x = 513.70 × 180.20
  4. Step 4: Simplify right side
    342.56x = 92,568.74
  5. Step 5: Solve for x
    x = 92,568.74/342.56
  6. Step 6: Final answer
    x = 270.23

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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.