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Finding the Fourth Proportional to 446.82, 670.04 and 158.20

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Solution

The fourth proportional to 446.82, 670.04 and 158.20 is: 237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.82 : 670.04 = 158.20 : x
  2. Step 2: Convert to fraction form
    446.82/670.04 = 158.20/x
  3. Step 3: Cross multiply
    446.82x = 670.04 × 158.20
  4. Step 4: Simplify right side
    446.82x = 106,000.33
  5. Step 5: Solve for x
    x = 106,000.33/446.82
  6. Step 6: Final answer
    x = 237.23

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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.