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Finding the Fourth Proportional to 342.21, 512.77 and 180.21

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Solution

The fourth proportional to 342.21, 512.77 and 180.21 is: 270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.21 : 512.77 = 180.21 : x
  2. Step 2: Convert to fraction form
    342.21/512.77 = 180.21/x
  3. Step 3: Cross multiply
    342.21x = 512.77 × 180.21
  4. Step 4: Simplify right side
    342.21x = 92,406.28
  5. Step 5: Solve for x
    x = 92,406.28/342.21
  6. Step 6: Final answer
    x = 270.03

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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.