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Finding the Fourth Proportional to 271.24, 374.37 and 176.54

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Solution

The fourth proportional to 271.24, 374.37 and 176.54 is: 243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.24 : 374.37 = 176.54 : x
  2. Step 2: Convert to fraction form
    271.24/374.37 = 176.54/x
  3. Step 3: Cross multiply
    271.24x = 374.37 × 176.54
  4. Step 4: Simplify right side
    271.24x = 66,092.65
  5. Step 5: Solve for x
    x = 66,092.65/271.24
  6. Step 6: Final answer
    x = 243.67

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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.