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Finding the Fourth Proportional to 310.93, 466.43 and 146.56

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Solution

The fourth proportional to 310.93, 466.43 and 146.56 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.93 : 466.43 = 146.56 : x
  2. Step 2: Convert to fraction form
    310.93/466.43 = 146.56/x
  3. Step 3: Cross multiply
    310.93x = 466.43 × 146.56
  4. Step 4: Simplify right side
    310.93x = 68,359.98
  5. Step 5: Solve for x
    x = 68,359.98/310.93
  6. Step 6: Final answer
    x = 219.86

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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.