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Finding the Fourth Proportional to 178.10, 245.89 and 111.78

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Solution

The fourth proportional to 178.10, 245.89 and 111.78 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 245.89 = 111.78 : x
  2. Step 2: Convert to fraction form
    178.10/245.89 = 111.78/x
  3. Step 3: Cross multiply
    178.10x = 245.89 × 111.78
  4. Step 4: Simplify right side
    178.10x = 27,485.58
  5. Step 5: Solve for x
    x = 27,485.58/178.10
  6. Step 6: Final answer
    x = 154.33

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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.