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Finding the Fourth Proportional to 305.38, 457.46 and 189.55

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Solution

The fourth proportional to 305.38, 457.46 and 189.55 is: 283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.38 : 457.46 = 189.55 : x
  2. Step 2: Convert to fraction form
    305.38/457.46 = 189.55/x
  3. Step 3: Cross multiply
    305.38x = 457.46 × 189.55
  4. Step 4: Simplify right side
    305.38x = 86,711.54
  5. Step 5: Solve for x
    x = 86,711.54/305.38
  6. Step 6: Final answer
    x = 283.95

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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.