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Finding the Fourth Proportional to 207.80, 312.30 and 181.40

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Solution

The fourth proportional to 207.80, 312.30 and 181.40 is: 272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.80 : 312.30 = 181.40 : x
  2. Step 2: Convert to fraction form
    207.80/312.30 = 181.40/x
  3. Step 3: Cross multiply
    207.80x = 312.30 × 181.40
  4. Step 4: Simplify right side
    207.80x = 56,651.22
  5. Step 5: Solve for x
    x = 56,651.22/207.80
  6. Step 6: Final answer
    x = 272.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.