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Finding the Fourth Proportional to 185.79, 278.82 and 89.67

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Solution

The fourth proportional to 185.79, 278.82 and 89.67 is: 134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.79 : 278.82 = 89.67 : x
  2. Step 2: Convert to fraction form
    185.79/278.82 = 89.67/x
  3. Step 3: Cross multiply
    185.79x = 278.82 × 89.67
  4. Step 4: Simplify right side
    185.79x = 25,001.79
  5. Step 5: Solve for x
    x = 25,001.79/185.79
  6. Step 6: Final answer
    x = 134.57

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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.