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Finding the Fourth Proportional to 275.40, 380.08 and 180.84

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Solution

The fourth proportional to 275.40, 380.08 and 180.84 is: 249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.40 : 380.08 = 180.84 : x
  2. Step 2: Convert to fraction form
    275.40/380.08 = 180.84/x
  3. Step 3: Cross multiply
    275.40x = 380.08 × 180.84
  4. Step 4: Simplify right side
    275.40x = 68,733.67
  5. Step 5: Solve for x
    x = 68,733.67/275.40
  6. Step 6: Final answer
    x = 249.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.