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Finding the Fourth Proportional to 305.65, 421.73 and 187.62

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Solution

The fourth proportional to 305.65, 421.73 and 187.62 is: 258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 421.73 = 187.62 : x
  2. Step 2: Convert to fraction form
    305.65/421.73 = 187.62/x
  3. Step 3: Cross multiply
    305.65x = 421.73 × 187.62
  4. Step 4: Simplify right side
    305.65x = 79,121.94
  5. Step 5: Solve for x
    x = 79,121.94/305.65
  6. Step 6: Final answer
    x = 258.86

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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.