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Finding the Fourth Proportional to 209.56, 314.33 and 123.49

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Solution

The fourth proportional to 209.56, 314.33 and 123.49 is: 185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 314.33 = 123.49 : x
  2. Step 2: Convert to fraction form
    209.56/314.33 = 123.49/x
  3. Step 3: Cross multiply
    209.56x = 314.33 × 123.49
  4. Step 4: Simplify right side
    209.56x = 38,816.96
  5. Step 5: Solve for x
    x = 38,816.96/209.56
  6. Step 6: Final answer
    x = 185.23

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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.