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Finding the Fourth Proportional to 310.94, 466.44 and 166.76

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Solution

The fourth proportional to 310.94, 466.44 and 166.76 is: 250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.94 : 466.44 = 166.76 : x
  2. Step 2: Convert to fraction form
    310.94/466.44 = 166.76/x
  3. Step 3: Cross multiply
    310.94x = 466.44 × 166.76
  4. Step 4: Simplify right side
    310.94x = 77,783.53
  5. Step 5: Solve for x
    x = 77,783.53/310.94
  6. Step 6: Final answer
    x = 250.16

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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.