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Finding the Fourth Proportional to 305.43, 456.99 and 187.88

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Solution

The fourth proportional to 305.43, 456.99 and 187.88 is: 281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.43 : 456.99 = 187.88 : x
  2. Step 2: Convert to fraction form
    305.43/456.99 = 187.88/x
  3. Step 3: Cross multiply
    305.43x = 456.99 × 187.88
  4. Step 4: Simplify right side
    305.43x = 85,859.28
  5. Step 5: Solve for x
    x = 85,859.28/305.43
  6. Step 6: Final answer
    x = 281.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.