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Finding the Fourth Proportional to 330.04, 495.22 and 185.72

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Solution

The fourth proportional to 330.04, 495.22 and 185.72 is: 278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.04 : 495.22 = 185.72 : x
  2. Step 2: Convert to fraction form
    330.04/495.22 = 185.72/x
  3. Step 3: Cross multiply
    330.04x = 495.22 × 185.72
  4. Step 4: Simplify right side
    330.04x = 91,972.26
  5. Step 5: Solve for x
    x = 91,972.26/330.04
  6. Step 6: Final answer
    x = 278.67

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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.