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Finding the Fourth Proportional to 209.56, 289.32 and 158.08

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Solution

The fourth proportional to 209.56, 289.32 and 158.08 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 289.32 = 158.08 : x
  2. Step 2: Convert to fraction form
    209.56/289.32 = 158.08/x
  3. Step 3: Cross multiply
    209.56x = 289.32 × 158.08
  4. Step 4: Simplify right side
    209.56x = 45,735.71
  5. Step 5: Solve for x
    x = 45,735.71/209.56
  6. Step 6: Final answer
    x = 218.25

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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.