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Finding the Fourth Proportional to 271.05, 373.46 and 224.16

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Solution

The fourth proportional to 271.05, 373.46 and 224.16 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.05 : 373.46 = 224.16 : x
  2. Step 2: Convert to fraction form
    271.05/373.46 = 224.16/x
  3. Step 3: Cross multiply
    271.05x = 373.46 × 224.16
  4. Step 4: Simplify right side
    271.05x = 83,713.67
  5. Step 5: Solve for x
    x = 83,713.67/271.05
  6. Step 6: Final answer
    x = 308.85

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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.