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Finding the Fourth Proportional to 209.36, 288.54 and 172.28

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Solution

The fourth proportional to 209.36, 288.54 and 172.28 is: 237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.36 : 288.54 = 172.28 : x
  2. Step 2: Convert to fraction form
    209.36/288.54 = 172.28/x
  3. Step 3: Cross multiply
    209.36x = 288.54 × 172.28
  4. Step 4: Simplify right side
    209.36x = 49,709.67
  5. Step 5: Solve for x
    x = 49,709.67/209.36
  6. Step 6: Final answer
    x = 237.44

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