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Finding the Fourth Proportional to 305.77, 422.10 and 193.79

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Solution

The fourth proportional to 305.77, 422.10 and 193.79 is: 267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.77 : 422.10 = 193.79 : x
  2. Step 2: Convert to fraction form
    305.77/422.10 = 193.79/x
  3. Step 3: Cross multiply
    305.77x = 422.10 × 193.79
  4. Step 4: Simplify right side
    305.77x = 81,798.96
  5. Step 5: Solve for x
    x = 81,798.96/305.77
  6. Step 6: Final answer
    x = 267.52

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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.