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Finding the Fourth Proportional to 305.42, 421.61 and 194.90

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Solution

The fourth proportional to 305.42, 421.61 and 194.90 is: 269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 421.61 = 194.90 : x
  2. Step 2: Convert to fraction form
    305.42/421.61 = 194.90/x
  3. Step 3: Cross multiply
    305.42x = 421.61 × 194.90
  4. Step 4: Simplify right side
    305.42x = 82,168.71
  5. Step 5: Solve for x
    x = 82,168.71/305.42
  6. Step 6: Final answer
    x = 269.04

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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.