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Finding the Fourth Proportional to 305.40, 458.30 and 183.92

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Solution

The fourth proportional to 305.40, 458.30 and 183.92 is: 276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 458.30 = 183.92 : x
  2. Step 2: Convert to fraction form
    305.40/458.30 = 183.92/x
  3. Step 3: Cross multiply
    305.40x = 458.30 × 183.92
  4. Step 4: Simplify right side
    305.40x = 84,290.54
  5. Step 5: Solve for x
    x = 84,290.54/305.40
  6. Step 6: Final answer
    x = 276.00

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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.