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Finding the Fourth Proportional to 209.84, 314.78 and 192.93

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Solution

The fourth proportional to 209.84, 314.78 and 192.93 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 314.78 = 192.93 : x
  2. Step 2: Convert to fraction form
    209.84/314.78 = 192.93/x
  3. Step 3: Cross multiply
    209.84x = 314.78 × 192.93
  4. Step 4: Simplify right side
    209.84x = 60,729.54
  5. Step 5: Solve for x
    x = 60,729.54/209.84
  6. Step 6: Final answer
    x = 289.41

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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.