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Finding the Fourth Proportional to 178.88, 247.05 and 120.56

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Solution

The fourth proportional to 178.88, 247.05 and 120.56 is: 166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 247.05 = 120.56 : x
  2. Step 2: Convert to fraction form
    178.88/247.05 = 120.56/x
  3. Step 3: Cross multiply
    178.88x = 247.05 × 120.56
  4. Step 4: Simplify right side
    178.88x = 29,783.11
  5. Step 5: Solve for x
    x = 29,783.11/178.88
  6. Step 6: Final answer
    x = 166.50

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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.