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Finding the Fourth Proportional to 209.74, 314.42 and 105.55

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Solution

The fourth proportional to 209.74, 314.42 and 105.55 is: 158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.74 : 314.42 = 105.55 : x
  2. Step 2: Convert to fraction form
    209.74/314.42 = 105.55/x
  3. Step 3: Cross multiply
    209.74x = 314.42 × 105.55
  4. Step 4: Simplify right side
    209.74x = 33,185.46
  5. Step 5: Solve for x
    x = 33,185.46/209.74
  6. Step 6: Final answer
    x = 158.23

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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.