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Finding the Fourth Proportional to 393.85, 590.23 and 150.04

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Solution

The fourth proportional to 393.85, 590.23 and 150.04 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.85 : 590.23 = 150.04 : x
  2. Step 2: Convert to fraction form
    393.85/590.23 = 150.04/x
  3. Step 3: Cross multiply
    393.85x = 590.23 × 150.04
  4. Step 4: Simplify right side
    393.85x = 88,554.41
  5. Step 5: Solve for x
    x = 88,554.41/393.85
  6. Step 6: Final answer
    x = 224.85

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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.