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Finding the Fourth Proportional to 209.82, 314.73 and 65.54

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Solution

The fourth proportional to 209.82, 314.73 and 65.54 is: 98.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 314.73 = 65.54 : x
  2. Step 2: Convert to fraction form
    209.82/314.73 = 65.54/x
  3. Step 3: Cross multiply
    209.82x = 314.73 × 65.54
  4. Step 4: Simplify right side
    209.82x = 20,625.83
  5. Step 5: Solve for x
    x = 20,625.83/209.82
  6. Step 6: Final answer
    x = 98.30

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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.