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Finding the Fourth Proportional to 289.22, 398.88 and 178.58

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Solution

The fourth proportional to 289.22, 398.88 and 178.58 is: 246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.22 : 398.88 = 178.58 : x
  2. Step 2: Convert to fraction form
    289.22/398.88 = 178.58/x
  3. Step 3: Cross multiply
    289.22x = 398.88 × 178.58
  4. Step 4: Simplify right side
    289.22x = 71,232.99
  5. Step 5: Solve for x
    x = 71,232.99/289.22
  6. Step 6: Final answer
    x = 246.30

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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.