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Finding the Fourth Proportional to 178.24, 246.09 and 111.88

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Solution

The fourth proportional to 178.24, 246.09 and 111.88 is: 154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 246.09 = 111.88 : x
  2. Step 2: Convert to fraction form
    178.24/246.09 = 111.88/x
  3. Step 3: Cross multiply
    178.24x = 246.09 × 111.88
  4. Step 4: Simplify right side
    178.24x = 27,531.93
  5. Step 5: Solve for x
    x = 27,531.93/178.24
  6. Step 6: Final answer
    x = 154.47

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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.