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Finding the Fourth Proportional to 178.01, 245.57 and 119.04

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Solution

The fourth proportional to 178.01, 245.57 and 119.04 is: 164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.01 : 245.57 = 119.04 : x
  2. Step 2: Convert to fraction form
    178.01/245.57 = 119.04/x
  3. Step 3: Cross multiply
    178.01x = 245.57 × 119.04
  4. Step 4: Simplify right side
    178.01x = 29,231.14
  5. Step 5: Solve for x
    x = 29,231.14/178.01
  6. Step 6: Final answer
    x = 164.21

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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.