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Finding the Fourth Proportional to 209.90, 289.76 and 131.24

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Solution

The fourth proportional to 209.90, 289.76 and 131.24 is: 181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.90 : 289.76 = 131.24 : x
  2. Step 2: Convert to fraction form
    209.90/289.76 = 131.24/x
  3. Step 3: Cross multiply
    209.90x = 289.76 × 131.24
  4. Step 4: Simplify right side
    209.90x = 38,028.10
  5. Step 5: Solve for x
    x = 38,028.10/209.90
  6. Step 6: Final answer
    x = 181.17

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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.