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Finding the Fourth Proportional to 178.96, 246.94 and 105.23

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Solution

The fourth proportional to 178.96, 246.94 and 105.23 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.96 : 246.94 = 105.23 : x
  2. Step 2: Convert to fraction form
    178.96/246.94 = 105.23/x
  3. Step 3: Cross multiply
    178.96x = 246.94 × 105.23
  4. Step 4: Simplify right side
    178.96x = 25,985.50
  5. Step 5: Solve for x
    x = 25,985.50/178.96
  6. Step 6: Final answer
    x = 145.20

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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.