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Finding the Fourth Proportional to 185.72, 278.18 and 89.24

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Solution

The fourth proportional to 185.72, 278.18 and 89.24 is: 133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.72 : 278.18 = 89.24 : x
  2. Step 2: Convert to fraction form
    185.72/278.18 = 89.24/x
  3. Step 3: Cross multiply
    185.72x = 278.18 × 89.24
  4. Step 4: Simplify right side
    185.72x = 24,824.78
  5. Step 5: Solve for x
    x = 24,824.78/185.72
  6. Step 6: Final answer
    x = 133.67

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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.