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Finding the Fourth Proportional to 271.64, 374.81 and 166.75

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Solution

The fourth proportional to 271.64, 374.81 and 166.75 is: 230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.64 : 374.81 = 166.75 : x
  2. Step 2: Convert to fraction form
    271.64/374.81 = 166.75/x
  3. Step 3: Cross multiply
    271.64x = 374.81 × 166.75
  4. Step 4: Simplify right side
    271.64x = 62,499.57
  5. Step 5: Solve for x
    x = 62,499.57/271.64
  6. Step 6: Final answer
    x = 230.08

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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.