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Finding the Fourth Proportional to 209.99, 313.13 and 181.31

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Solution

The fourth proportional to 209.99, 313.13 and 181.31 is: 270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 313.13 = 181.31 : x
  2. Step 2: Convert to fraction form
    209.99/313.13 = 181.31/x
  3. Step 3: Cross multiply
    209.99x = 313.13 × 181.31
  4. Step 4: Simplify right side
    209.99x = 56,772.49
  5. Step 5: Solve for x
    x = 56,772.49/209.99
  6. Step 6: Final answer
    x = 270.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.