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Finding the Fourth Proportional to 178.03, 245.75 and 104.37

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Solution

The fourth proportional to 178.03, 245.75 and 104.37 is: 144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.03 : 245.75 = 104.37 : x
  2. Step 2: Convert to fraction form
    178.03/245.75 = 104.37/x
  3. Step 3: Cross multiply
    178.03x = 245.75 × 104.37
  4. Step 4: Simplify right side
    178.03x = 25,648.93
  5. Step 5: Solve for x
    x = 25,648.93/178.03
  6. Step 6: Final answer
    x = 144.07

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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.