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Finding the Fourth Proportional to 178.14, 268.08 and 161.36

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Solution

The fourth proportional to 178.14, 268.08 and 161.36 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.14 : 268.08 = 161.36 : x
  2. Step 2: Convert to fraction form
    178.14/268.08 = 161.36/x
  3. Step 3: Cross multiply
    178.14x = 268.08 × 161.36
  4. Step 4: Simplify right side
    178.14x = 43,257.39
  5. Step 5: Solve for x
    x = 43,257.39/178.14
  6. Step 6: Final answer
    x = 242.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.