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Finding the Fourth Proportional to 271.31, 374.43 and 166.40

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Solution

The fourth proportional to 271.31, 374.43 and 166.40 is: 229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.31 : 374.43 = 166.40 : x
  2. Step 2: Convert to fraction form
    271.31/374.43 = 166.40/x
  3. Step 3: Cross multiply
    271.31x = 374.43 × 166.40
  4. Step 4: Simplify right side
    271.31x = 62,303.28
  5. Step 5: Solve for x
    x = 62,303.28/271.31
  6. Step 6: Final answer
    x = 229.64

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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.