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Finding the Fourth Proportional to 211.71, 317.34 and 120.27

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Solution

The fourth proportional to 211.71, 317.34 and 120.27 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.71 : 317.34 = 120.27 : x
  2. Step 2: Convert to fraction form
    211.71/317.34 = 120.27/x
  3. Step 3: Cross multiply
    211.71x = 317.34 × 120.27
  4. Step 4: Simplify right side
    211.71x = 38,166.48
  5. Step 5: Solve for x
    x = 38,166.48/211.71
  6. Step 6: Final answer
    x = 180.28

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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.