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Finding the Fourth Proportional to 310.56, 428.55 and 170.67

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Solution

The fourth proportional to 310.56, 428.55 and 170.67 is: 235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 428.55 = 170.67 : x
  2. Step 2: Convert to fraction form
    310.56/428.55 = 170.67/x
  3. Step 3: Cross multiply
    310.56x = 428.55 × 170.67
  4. Step 4: Simplify right side
    310.56x = 73,140.63
  5. Step 5: Solve for x
    x = 73,140.63/310.56
  6. Step 6: Final answer
    x = 235.51

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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.