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Finding the Fourth Proportional to 427.80, 641.68 and 180.90

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Solution

The fourth proportional to 427.80, 641.68 and 180.90 is: 271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.80 : 641.68 = 180.90 : x
  2. Step 2: Convert to fraction form
    427.80/641.68 = 180.90/x
  3. Step 3: Cross multiply
    427.80x = 641.68 × 180.90
  4. Step 4: Simplify right side
    427.80x = 116,082.54
  5. Step 5: Solve for x
    x = 116,082.54/427.80
  6. Step 6: Final answer
    x = 271.35

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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.