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Finding the Fourth Proportional to 271.87, 375.15 and 167.02

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Solution

The fourth proportional to 271.87, 375.15 and 167.02 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.87 : 375.15 = 167.02 : x
  2. Step 2: Convert to fraction form
    271.87/375.15 = 167.02/x
  3. Step 3: Cross multiply
    271.87x = 375.15 × 167.02
  4. Step 4: Simplify right side
    271.87x = 62,657.55
  5. Step 5: Solve for x
    x = 62,657.55/271.87
  6. Step 6: Final answer
    x = 230.47

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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.