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Finding the Fourth Proportional to 211.20, 316.56 and 125.44

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Solution

The fourth proportional to 211.20, 316.56 and 125.44 is: 188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.20 : 316.56 = 125.44 : x
  2. Step 2: Convert to fraction form
    211.20/316.56 = 125.44/x
  3. Step 3: Cross multiply
    211.20x = 316.56 × 125.44
  4. Step 4: Simplify right side
    211.20x = 39,709.29
  5. Step 5: Solve for x
    x = 39,709.29/211.20
  6. Step 6: Final answer
    x = 188.02

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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.