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Finding the Fourth Proportional to 211.46, 316.96 and 165.70

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Solution

The fourth proportional to 211.46, 316.96 and 165.70 is: 248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.46 : 316.96 = 165.70 : x
  2. Step 2: Convert to fraction form
    211.46/316.96 = 165.70/x
  3. Step 3: Cross multiply
    211.46x = 316.96 × 165.70
  4. Step 4: Simplify right side
    211.46x = 52,519.40
  5. Step 5: Solve for x
    x = 52,519.40/211.46
  6. Step 6: Final answer
    x = 248.36

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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.