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Finding the Fourth Proportional to 271.41, 407.23 and 141.51

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Solution

The fourth proportional to 271.41, 407.23 and 141.51 is: 212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.41 : 407.23 = 141.51 : x
  2. Step 2: Convert to fraction form
    271.41/407.23 = 141.51/x
  3. Step 3: Cross multiply
    271.41x = 407.23 × 141.51
  4. Step 4: Simplify right side
    271.41x = 57,626.80
  5. Step 5: Solve for x
    x = 57,626.80/271.41
  6. Step 6: Final answer
    x = 212.32

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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.