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Finding the Fourth Proportional to 209.96, 289.68 and 144.35

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Solution

The fourth proportional to 209.96, 289.68 and 144.35 is: 199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 289.68 = 144.35 : x
  2. Step 2: Convert to fraction form
    209.96/289.68 = 144.35/x
  3. Step 3: Cross multiply
    209.96x = 289.68 × 144.35
  4. Step 4: Simplify right side
    209.96x = 41,814.40
  5. Step 5: Solve for x
    x = 41,814.40/209.96
  6. Step 6: Final answer
    x = 199.16

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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.