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Finding the Fourth Proportional to 178.88, 268.23 and 120.96

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Solution

The fourth proportional to 178.88, 268.23 and 120.96 is: 181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 268.23 = 120.96 : x
  2. Step 2: Convert to fraction form
    178.88/268.23 = 120.96/x
  3. Step 3: Cross multiply
    178.88x = 268.23 × 120.96
  4. Step 4: Simplify right side
    178.88x = 32,445.10
  5. Step 5: Solve for x
    x = 32,445.10/178.88
  6. Step 6: Final answer
    x = 181.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.