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Finding the Fourth Proportional to 209.51, 314.36 and 113.39

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Solution

The fourth proportional to 209.51, 314.36 and 113.39 is: 170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.51 : 314.36 = 113.39 : x
  2. Step 2: Convert to fraction form
    209.51/314.36 = 113.39/x
  3. Step 3: Cross multiply
    209.51x = 314.36 × 113.39
  4. Step 4: Simplify right side
    209.51x = 35,645.28
  5. Step 5: Solve for x
    x = 35,645.28/209.51
  6. Step 6: Final answer
    x = 170.14

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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.