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Finding the Fourth Proportional to 271.61, 374.72 and 178.40

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Solution

The fourth proportional to 271.61, 374.72 and 178.40 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.61 : 374.72 = 178.40 : x
  2. Step 2: Convert to fraction form
    271.61/374.72 = 178.40/x
  3. Step 3: Cross multiply
    271.61x = 374.72 × 178.40
  4. Step 4: Simplify right side
    271.61x = 66,850.09
  5. Step 5: Solve for x
    x = 66,850.09/271.61
  6. Step 6: Final answer
    x = 246.13

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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.