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Finding the Fourth Proportional to 367.76, 552.05 and 185.31

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Solution

The fourth proportional to 367.76, 552.05 and 185.31 is: 278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.76 : 552.05 = 185.31 : x
  2. Step 2: Convert to fraction form
    367.76/552.05 = 185.31/x
  3. Step 3: Cross multiply
    367.76x = 552.05 × 185.31
  4. Step 4: Simplify right side
    367.76x = 102,299.46
  5. Step 5: Solve for x
    x = 102,299.46/367.76
  6. Step 6: Final answer
    x = 278.17

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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.