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Finding the Fourth Proportional to 289.99, 400.19 and 159

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Solution

The fourth proportional to 289.99, 400.19 and 159 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.99 : 400.19 = 159 : x
  2. Step 2: Convert to fraction form
    289.99/400.19 = 159/x
  3. Step 3: Cross multiply
    289.99x = 400.19 × 159
  4. Step 4: Simplify right side
    289.99x = 63,629.42
  5. Step 5: Solve for x
    x = 63,629.42/289.99
  6. Step 6: Final answer
    x = 219.42

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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.