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Finding the Fourth Proportional to 209.51, 313.82 and 111.70

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Solution

The fourth proportional to 209.51, 313.82 and 111.70 is: 167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.51 : 313.82 = 111.70 : x
  2. Step 2: Convert to fraction form
    209.51/313.82 = 111.70/x
  3. Step 3: Cross multiply
    209.51x = 313.82 × 111.70
  4. Step 4: Simplify right side
    209.51x = 35,053.69
  5. Step 5: Solve for x
    x = 35,053.69/209.51
  6. Step 6: Final answer
    x = 167.31

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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.