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Finding the Fourth Proportional to 271.16, 406.64 and 97.80

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Solution

The fourth proportional to 271.16, 406.64 and 97.80 is: 146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.16 : 406.64 = 97.80 : x
  2. Step 2: Convert to fraction form
    271.16/406.64 = 97.80/x
  3. Step 3: Cross multiply
    271.16x = 406.64 × 97.80
  4. Step 4: Simplify right side
    271.16x = 39,769.39
  5. Step 5: Solve for x
    x = 39,769.39/271.16
  6. Step 6: Final answer
    x = 146.66

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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.