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Finding the Fourth Proportional to 185.16, 277.34 and 180.04

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Solution

The fourth proportional to 185.16, 277.34 and 180.04 is: 269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.16 : 277.34 = 180.04 : x
  2. Step 2: Convert to fraction form
    185.16/277.34 = 180.04/x
  3. Step 3: Cross multiply
    185.16x = 277.34 × 180.04
  4. Step 4: Simplify right side
    185.16x = 49,932.29
  5. Step 5: Solve for x
    x = 49,932.29/185.16
  6. Step 6: Final answer
    x = 269.67

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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.