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Finding the Fourth Proportional to 209.51, 314.07 and 111.93

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Solution

The fourth proportional to 209.51, 314.07 and 111.93 is: 167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.51 : 314.07 = 111.93 : x
  2. Step 2: Convert to fraction form
    209.51/314.07 = 111.93/x
  3. Step 3: Cross multiply
    209.51x = 314.07 × 111.93
  4. Step 4: Simplify right side
    209.51x = 35,153.86
  5. Step 5: Solve for x
    x = 35,153.86/209.51
  6. Step 6: Final answer
    x = 167.79

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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.