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Finding the Fourth Proportional to 305.09, 421.05 and 174.14

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Solution

The fourth proportional to 305.09, 421.05 and 174.14 is: 240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.09 : 421.05 = 174.14 : x
  2. Step 2: Convert to fraction form
    305.09/421.05 = 174.14/x
  3. Step 3: Cross multiply
    305.09x = 421.05 × 174.14
  4. Step 4: Simplify right side
    305.09x = 73,321.65
  5. Step 5: Solve for x
    x = 73,321.65/305.09
  6. Step 6: Final answer
    x = 240.33

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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.