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Finding the Fourth Proportional to 271.69, 407.34 and 117.61

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Solution

The fourth proportional to 271.69, 407.34 and 117.61 is: 176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.69 : 407.34 = 117.61 : x
  2. Step 2: Convert to fraction form
    271.69/407.34 = 117.61/x
  3. Step 3: Cross multiply
    271.69x = 407.34 × 117.61
  4. Step 4: Simplify right side
    271.69x = 47,906.67
  5. Step 5: Solve for x
    x = 47,906.67/271.69
  6. Step 6: Final answer
    x = 176.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.