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Finding the Fourth Proportional to 209.84, 314.68 and 173.84

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Solution

The fourth proportional to 209.84, 314.68 and 173.84 is: 260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 314.68 = 173.84 : x
  2. Step 2: Convert to fraction form
    209.84/314.68 = 173.84/x
  3. Step 3: Cross multiply
    209.84x = 314.68 × 173.84
  4. Step 4: Simplify right side
    209.84x = 54,703.97
  5. Step 5: Solve for x
    x = 54,703.97/209.84
  6. Step 6: Final answer
    x = 260.69

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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.