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Finding the Fourth Proportional to 206.32, 283.80 and 181.60

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Solution

The fourth proportional to 206.32, 283.80 and 181.60 is: 249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.32 : 283.80 = 181.60 : x
  2. Step 2: Convert to fraction form
    206.32/283.80 = 181.60/x
  3. Step 3: Cross multiply
    206.32x = 283.80 × 181.60
  4. Step 4: Simplify right side
    206.32x = 51,538.08
  5. Step 5: Solve for x
    x = 51,538.08/206.32
  6. Step 6: Final answer
    x = 249.80

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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.