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Finding the Fourth Proportional to 209.93, 313.34 and 185.63

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Solution

The fourth proportional to 209.93, 313.34 and 185.63 is: 277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.93 : 313.34 = 185.63 : x
  2. Step 2: Convert to fraction form
    209.93/313.34 = 185.63/x
  3. Step 3: Cross multiply
    209.93x = 313.34 × 185.63
  4. Step 4: Simplify right side
    209.93x = 58,162.81
  5. Step 5: Solve for x
    x = 58,162.81/209.93
  6. Step 6: Final answer
    x = 277.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.