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Finding the Fourth Proportional to 310.87, 466.21 and 203.23

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Solution

The fourth proportional to 310.87, 466.21 and 203.23 is: 304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.87 : 466.21 = 203.23 : x
  2. Step 2: Convert to fraction form
    310.87/466.21 = 203.23/x
  3. Step 3: Cross multiply
    310.87x = 466.21 × 203.23
  4. Step 4: Simplify right side
    310.87x = 94,747.86
  5. Step 5: Solve for x
    x = 94,747.86/310.87
  6. Step 6: Final answer
    x = 304.78

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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.