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Finding the Fourth Proportional to 305.76, 421.74 and 195.20

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Solution

The fourth proportional to 305.76, 421.74 and 195.20 is: 269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 421.74 = 195.20 : x
  2. Step 2: Convert to fraction form
    305.76/421.74 = 195.20/x
  3. Step 3: Cross multiply
    305.76x = 421.74 × 195.20
  4. Step 4: Simplify right side
    305.76x = 82,323.35
  5. Step 5: Solve for x
    x = 82,323.35/305.76
  6. Step 6: Final answer
    x = 269.24

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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.