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Finding the Fourth Proportional to 210.96, 316.08 and 178.56

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Solution

The fourth proportional to 210.96, 316.08 and 178.56 is: 267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 316.08 = 178.56 : x
  2. Step 2: Convert to fraction form
    210.96/316.08 = 178.56/x
  3. Step 3: Cross multiply
    210.96x = 316.08 × 178.56
  4. Step 4: Simplify right side
    210.96x = 56,439.24
  5. Step 5: Solve for x
    x = 56,439.24/210.96
  6. Step 6: Final answer
    x = 267.54

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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.