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Finding the Fourth Proportional to 305.74, 421.91 and 187.68

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Solution

The fourth proportional to 305.74, 421.91 and 187.68 is: 258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 421.91 = 187.68 : x
  2. Step 2: Convert to fraction form
    305.74/421.91 = 187.68/x
  3. Step 3: Cross multiply
    305.74x = 421.91 × 187.68
  4. Step 4: Simplify right side
    305.74x = 79,185.42
  5. Step 5: Solve for x
    x = 79,185.42/305.74
  6. Step 6: Final answer
    x = 258.99

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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.