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Finding the Fourth Proportional to 310.30, 428.19 and 177.51

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Solution

The fourth proportional to 310.30, 428.19 and 177.51 is: 244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.30 : 428.19 = 177.51 : x
  2. Step 2: Convert to fraction form
    310.30/428.19 = 177.51/x
  3. Step 3: Cross multiply
    310.30x = 428.19 × 177.51
  4. Step 4: Simplify right side
    310.30x = 76,008.04
  5. Step 5: Solve for x
    x = 76,008.04/310.30
  6. Step 6: Final answer
    x = 244.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.