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Finding the Fourth Proportional to 209.84, 314.82 and 164.24

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Solution

The fourth proportional to 209.84, 314.82 and 164.24 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 314.82 = 164.24 : x
  2. Step 2: Convert to fraction form
    209.84/314.82 = 164.24/x
  3. Step 3: Cross multiply
    209.84x = 314.82 × 164.24
  4. Step 4: Simplify right side
    209.84x = 51,706.04
  5. Step 5: Solve for x
    x = 51,706.04/209.84
  6. Step 6: Final answer
    x = 246.41

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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.