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Finding the Fourth Proportional to 305.42, 421.49 and 194.85

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Solution

The fourth proportional to 305.42, 421.49 and 194.85 is: 268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 421.49 = 194.85 : x
  2. Step 2: Convert to fraction form
    305.42/421.49 = 194.85/x
  3. Step 3: Cross multiply
    305.42x = 421.49 × 194.85
  4. Step 4: Simplify right side
    305.42x = 82,127.81
  5. Step 5: Solve for x
    x = 82,127.81/305.42
  6. Step 6: Final answer
    x = 268.91

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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.