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Finding the Fourth Proportional to 447.31, 670.42 and 158.50

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Solution

The fourth proportional to 447.31, 670.42 and 158.50 is: 237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.31 : 670.42 = 158.50 : x
  2. Step 2: Convert to fraction form
    447.31/670.42 = 158.50/x
  3. Step 3: Cross multiply
    447.31x = 670.42 × 158.50
  4. Step 4: Simplify right side
    447.31x = 106,261.57
  5. Step 5: Solve for x
    x = 106,261.57/447.31
  6. Step 6: Final answer
    x = 237.56

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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.