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Finding the Fourth Proportional to 310.56, 428.48 and 194.08

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Solution

The fourth proportional to 310.56, 428.48 and 194.08 is: 267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 428.48 = 194.08 : x
  2. Step 2: Convert to fraction form
    310.56/428.48 = 194.08/x
  3. Step 3: Cross multiply
    310.56x = 428.48 × 194.08
  4. Step 4: Simplify right side
    310.56x = 83,159.40
  5. Step 5: Solve for x
    x = 83,159.40/310.56
  6. Step 6: Final answer
    x = 267.77

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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.