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Finding the Fourth Proportional to 271.90, 375.27 and 178.66

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Solution

The fourth proportional to 271.90, 375.27 and 178.66 is: 246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.90 : 375.27 = 178.66 : x
  2. Step 2: Convert to fraction form
    271.90/375.27 = 178.66/x
  3. Step 3: Cross multiply
    271.90x = 375.27 × 178.66
  4. Step 4: Simplify right side
    271.90x = 67,045.74
  5. Step 5: Solve for x
    x = 67,045.74/271.90
  6. Step 6: Final answer
    x = 246.58

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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.