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Finding the Fourth Proportional to 447.42, 670.65 and 158.76

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Solution

The fourth proportional to 447.42, 670.65 and 158.76 is: 237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 670.65 = 158.76 : x
  2. Step 2: Convert to fraction form
    447.42/670.65 = 158.76/x
  3. Step 3: Cross multiply
    447.42x = 670.65 × 158.76
  4. Step 4: Simplify right side
    447.42x = 106,472.39
  5. Step 5: Solve for x
    x = 106,472.39/447.42
  6. Step 6: Final answer
    x = 237.97

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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.