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Finding the Fourth Proportional to 447.77, 671.55 and 123.16

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Solution

The fourth proportional to 447.77, 671.55 and 123.16 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.77 : 671.55 = 123.16 : x
  2. Step 2: Convert to fraction form
    447.77/671.55 = 123.16/x
  3. Step 3: Cross multiply
    447.77x = 671.55 × 123.16
  4. Step 4: Simplify right side
    447.77x = 82,708.10
  5. Step 5: Solve for x
    x = 82,708.10/447.77
  6. Step 6: Final answer
    x = 184.71

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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.