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Finding the Fourth Proportional to 305.48, 458.12 and 168.34

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Solution

The fourth proportional to 305.48, 458.12 and 168.34 is: 252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.48 : 458.12 = 168.34 : x
  2. Step 2: Convert to fraction form
    305.48/458.12 = 168.34/x
  3. Step 3: Cross multiply
    305.48x = 458.12 × 168.34
  4. Step 4: Simplify right side
    305.48x = 77,119.92
  5. Step 5: Solve for x
    x = 77,119.92/305.48
  6. Step 6: Final answer
    x = 252.45

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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.