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Finding the Fourth Proportional to 207.84, 312.98 and 181.10

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Solution

The fourth proportional to 207.84, 312.98 and 181.10 is: 272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.84 : 312.98 = 181.10 : x
  2. Step 2: Convert to fraction form
    207.84/312.98 = 181.10/x
  3. Step 3: Cross multiply
    207.84x = 312.98 × 181.10
  4. Step 4: Simplify right side
    207.84x = 56,680.68
  5. Step 5: Solve for x
    x = 56,680.68/207.84
  6. Step 6: Final answer
    x = 272.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.