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Finding the Fourth Proportional to 271.88, 375.16 and 166.98

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Solution

The fourth proportional to 271.88, 375.16 and 166.98 is: 230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.88 : 375.16 = 166.98 : x
  2. Step 2: Convert to fraction form
    271.88/375.16 = 166.98/x
  3. Step 3: Cross multiply
    271.88x = 375.16 × 166.98
  4. Step 4: Simplify right side
    271.88x = 62,643.38
  5. Step 5: Solve for x
    x = 62,643.38/271.88
  6. Step 6: Final answer
    x = 230.41

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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.