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Finding the Fourth Proportional to 289.78, 400.10 and 179.28

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Solution

The fourth proportional to 289.78, 400.10 and 179.28 is: 247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.78 : 400.10 = 179.28 : x
  2. Step 2: Convert to fraction form
    289.78/400.10 = 179.28/x
  3. Step 3: Cross multiply
    289.78x = 400.10 × 179.28
  4. Step 4: Simplify right side
    289.78x = 71,729.03
  5. Step 5: Solve for x
    x = 71,729.03/289.78
  6. Step 6: Final answer
    x = 247.53

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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.