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Finding the Fourth Proportional to 185.49, 278.04 and 120.53

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Solution

The fourth proportional to 185.49, 278.04 and 120.53 is: 180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 278.04 = 120.53 : x
  2. Step 2: Convert to fraction form
    185.49/278.04 = 120.53/x
  3. Step 3: Cross multiply
    185.49x = 278.04 × 120.53
  4. Step 4: Simplify right side
    185.49x = 33,512.86
  5. Step 5: Solve for x
    x = 33,512.86/185.49
  6. Step 6: Final answer
    x = 180.67

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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.