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Finding the Fourth Proportional to 211.09, 316.64 and 175.27

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Solution

The fourth proportional to 211.09, 316.64 and 175.27 is: 262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.09 : 316.64 = 175.27 : x
  2. Step 2: Convert to fraction form
    211.09/316.64 = 175.27/x
  3. Step 3: Cross multiply
    211.09x = 316.64 × 175.27
  4. Step 4: Simplify right side
    211.09x = 55,497.49
  5. Step 5: Solve for x
    x = 55,497.49/211.09
  6. Step 6: Final answer
    x = 262.91

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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.