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Finding the Fourth Proportional to 344.98, 476.06 and 189.73

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Solution

The fourth proportional to 344.98, 476.06 and 189.73 is: 261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.98 : 476.06 = 189.73 : x
  2. Step 2: Convert to fraction form
    344.98/476.06 = 189.73/x
  3. Step 3: Cross multiply
    344.98x = 476.06 × 189.73
  4. Step 4: Simplify right side
    344.98x = 90,322.86
  5. Step 5: Solve for x
    x = 90,322.86/344.98
  6. Step 6: Final answer
    x = 261.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.