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Finding the Fourth Proportional to 305.25, 421.25 and 174.26

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Solution

The fourth proportional to 305.25, 421.25 and 174.26 is: 240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.25 : 421.25 = 174.26 : x
  2. Step 2: Convert to fraction form
    305.25/421.25 = 174.26/x
  3. Step 3: Cross multiply
    305.25x = 421.25 × 174.26
  4. Step 4: Simplify right side
    305.25x = 73,404.05
  5. Step 5: Solve for x
    x = 73,404.05/305.25
  6. Step 6: Final answer
    x = 240.47

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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.