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Finding the Fourth Proportional to 209.98, 290.05 and 170.90

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Solution

The fourth proportional to 209.98, 290.05 and 170.90 is: 236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.98 : 290.05 = 170.90 : x
  2. Step 2: Convert to fraction form
    209.98/290.05 = 170.90/x
  3. Step 3: Cross multiply
    209.98x = 290.05 × 170.90
  4. Step 4: Simplify right side
    209.98x = 49,569.12
  5. Step 5: Solve for x
    x = 49,569.12/209.98
  6. Step 6: Final answer
    x = 236.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.