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Finding the Fourth Proportional to 310.30, 466.26 and 173.55

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Solution

The fourth proportional to 310.30, 466.26 and 173.55 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.30 : 466.26 = 173.55 : x
  2. Step 2: Convert to fraction form
    310.30/466.26 = 173.55/x
  3. Step 3: Cross multiply
    310.30x = 466.26 × 173.55
  4. Step 4: Simplify right side
    310.30x = 80,919.42
  5. Step 5: Solve for x
    x = 80,919.42/310.30
  6. Step 6: Final answer
    x = 260.78

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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.