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Finding the Fourth Proportional to 271.69, 407.06 and 117.49

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Solution

The fourth proportional to 271.69, 407.06 and 117.49 is: 176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.69 : 407.06 = 117.49 : x
  2. Step 2: Convert to fraction form
    271.69/407.06 = 117.49/x
  3. Step 3: Cross multiply
    271.69x = 407.06 × 117.49
  4. Step 4: Simplify right side
    271.69x = 47,825.48
  5. Step 5: Solve for x
    x = 47,825.48/271.69
  6. Step 6: Final answer
    x = 176.03

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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.