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Finding the Fourth Proportional to 305.45, 458.28 and 143.09

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Solution

The fourth proportional to 305.45, 458.28 and 143.09 is: 214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.45 : 458.28 = 143.09 : x
  2. Step 2: Convert to fraction form
    305.45/458.28 = 143.09/x
  3. Step 3: Cross multiply
    305.45x = 458.28 × 143.09
  4. Step 4: Simplify right side
    305.45x = 65,572.99
  5. Step 5: Solve for x
    x = 65,572.99/305.45
  6. Step 6: Final answer
    x = 214.68

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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.