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Finding the Fourth Proportional to 305.27, 421.25 and 187.19

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Solution

The fourth proportional to 305.27, 421.25 and 187.19 is: 258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.27 : 421.25 = 187.19 : x
  2. Step 2: Convert to fraction form
    305.27/421.25 = 187.19/x
  3. Step 3: Cross multiply
    305.27x = 421.25 × 187.19
  4. Step 4: Simplify right side
    305.27x = 78,853.79
  5. Step 5: Solve for x
    x = 78,853.79/305.27
  6. Step 6: Final answer
    x = 258.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.