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Finding the Fourth Proportional to 271.76, 407.90 and 180.08

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Solution

The fourth proportional to 271.76, 407.90 and 180.08 is: 270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.76 : 407.90 = 180.08 : x
  2. Step 2: Convert to fraction form
    271.76/407.90 = 180.08/x
  3. Step 3: Cross multiply
    271.76x = 407.90 × 180.08
  4. Step 4: Simplify right side
    271.76x = 73,454.63
  5. Step 5: Solve for x
    x = 73,454.63/271.76
  6. Step 6: Final answer
    x = 270.29

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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.