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Finding the Fourth Proportional to 271.73, 374.97 and 152.09

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Solution

The fourth proportional to 271.73, 374.97 and 152.09 is: 209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.73 : 374.97 = 152.09 : x
  2. Step 2: Convert to fraction form
    271.73/374.97 = 152.09/x
  3. Step 3: Cross multiply
    271.73x = 374.97 × 152.09
  4. Step 4: Simplify right side
    271.73x = 57,030.12
  5. Step 5: Solve for x
    x = 57,030.12/271.73
  6. Step 6: Final answer
    x = 209.88

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Why These Related Problems?

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