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Finding the Fourth Proportional to 180.33, 268.79 and 178.91

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Solution

The fourth proportional to 180.33, 268.79 and 178.91 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.33 : 268.79 = 178.91 : x
  2. Step 2: Convert to fraction form
    180.33/268.79 = 178.91/x
  3. Step 3: Cross multiply
    180.33x = 268.79 × 178.91
  4. Step 4: Simplify right side
    180.33x = 48,087.99
  5. Step 5: Solve for x
    x = 48,087.99/180.33
  6. Step 6: Final answer
    x = 266.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.