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Finding the Fourth Proportional to 178.05, 245.82 and 119.12

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Solution

The fourth proportional to 178.05, 245.82 and 119.12 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.05 : 245.82 = 119.12 : x
  2. Step 2: Convert to fraction form
    178.05/245.82 = 119.12/x
  3. Step 3: Cross multiply
    178.05x = 245.82 × 119.12
  4. Step 4: Simplify right side
    178.05x = 29,280.85
  5. Step 5: Solve for x
    x = 29,280.85/178.05
  6. Step 6: Final answer
    x = 164.45

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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.