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Finding the Fourth Proportional to 209.34, 314.15 and 181.94

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Solution

The fourth proportional to 209.34, 314.15 and 181.94 is: 273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 314.15 = 181.94 : x
  2. Step 2: Convert to fraction form
    209.34/314.15 = 181.94/x
  3. Step 3: Cross multiply
    209.34x = 314.15 × 181.94
  4. Step 4: Simplify right side
    209.34x = 57,153.97
  5. Step 5: Solve for x
    x = 57,153.97/209.34
  6. Step 6: Final answer
    x = 273.02

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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.