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Finding the Fourth Proportional to 206.08, 308.84 and 180.32

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Solution

The fourth proportional to 206.08, 308.84 and 180.32 is: 270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.08 : 308.84 = 180.32 : x
  2. Step 2: Convert to fraction form
    206.08/308.84 = 180.32/x
  3. Step 3: Cross multiply
    206.08x = 308.84 × 180.32
  4. Step 4: Simplify right side
    206.08x = 55,690.03
  5. Step 5: Solve for x
    x = 55,690.03/206.08
  6. Step 6: Final answer
    x = 270.24

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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.