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Finding the Fourth Proportional to 178.88, 247.07 and 119.77

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Solution

The fourth proportional to 178.88, 247.07 and 119.77 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 247.07 = 119.77 : x
  2. Step 2: Convert to fraction form
    178.88/247.07 = 119.77/x
  3. Step 3: Cross multiply
    178.88x = 247.07 × 119.77
  4. Step 4: Simplify right side
    178.88x = 29,591.28
  5. Step 5: Solve for x
    x = 29,591.28/178.88
  6. Step 6: Final answer
    x = 165.42

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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.