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Finding the Fourth Proportional to 271.37, 374.21 and 164.99

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Solution

The fourth proportional to 271.37, 374.21 and 164.99 is: 227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.37 : 374.21 = 164.99 : x
  2. Step 2: Convert to fraction form
    271.37/374.21 = 164.99/x
  3. Step 3: Cross multiply
    271.37x = 374.21 × 164.99
  4. Step 4: Simplify right side
    271.37x = 61,742.26
  5. Step 5: Solve for x
    x = 61,742.26/271.37
  6. Step 6: Final answer
    x = 227.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.