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Finding the Fourth Proportional to 447.08, 670.56 and 158.48

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Solution

The fourth proportional to 447.08, 670.56 and 158.48 is: 237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.08 : 670.56 = 158.48 : x
  2. Step 2: Convert to fraction form
    447.08/670.56 = 158.48/x
  3. Step 3: Cross multiply
    447.08x = 670.56 × 158.48
  4. Step 4: Simplify right side
    447.08x = 106,270.35
  5. Step 5: Solve for x
    x = 106,270.35/447.08
  6. Step 6: Final answer
    x = 237.70

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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.