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Finding the Fourth Proportional to 208.44, 311.34 and 184.14

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Solution

The fourth proportional to 208.44, 311.34 and 184.14 is: 275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.44 : 311.34 = 184.14 : x
  2. Step 2: Convert to fraction form
    208.44/311.34 = 184.14/x
  3. Step 3: Cross multiply
    208.44x = 311.34 × 184.14
  4. Step 4: Simplify right side
    208.44x = 57,330.15
  5. Step 5: Solve for x
    x = 57,330.15/208.44
  6. Step 6: Final answer
    x = 275.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.