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Finding the Fourth Proportional to 178.25, 245.96 and 104.56

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Solution

The fourth proportional to 178.25, 245.96 and 104.56 is: 144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 245.96 = 104.56 : x
  2. Step 2: Convert to fraction form
    178.25/245.96 = 104.56/x
  3. Step 3: Cross multiply
    178.25x = 245.96 × 104.56
  4. Step 4: Simplify right side
    178.25x = 25,716.83
  5. Step 5: Solve for x
    x = 25,716.83/178.25
  6. Step 6: Final answer
    x = 144.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.