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Finding the Fourth Proportional to 209.36, 288.33 and 181.72

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Solution

The fourth proportional to 209.36, 288.33 and 181.72 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.36 : 288.33 = 181.72 : x
  2. Step 2: Convert to fraction form
    209.36/288.33 = 181.72/x
  3. Step 3: Cross multiply
    209.36x = 288.33 × 181.72
  4. Step 4: Simplify right side
    209.36x = 52,393.89
  5. Step 5: Solve for x
    x = 52,393.89/209.36
  6. Step 6: Final answer
    x = 250.26

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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.