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Finding the Fourth Proportional to 178.15, 245.89 and 111.80

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Solution

The fourth proportional to 178.15, 245.89 and 111.80 is: 154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.15 : 245.89 = 111.80 : x
  2. Step 2: Convert to fraction form
    178.15/245.89 = 111.80/x
  3. Step 3: Cross multiply
    178.15x = 245.89 × 111.80
  4. Step 4: Simplify right side
    178.15x = 27,490.50
  5. Step 5: Solve for x
    x = 27,490.50/178.15
  6. Step 6: Final answer
    x = 154.31

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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.