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Finding the Fourth Proportional to 271.36, 373.84 and 224.47

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Solution

The fourth proportional to 271.36, 373.84 and 224.47 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.36 : 373.84 = 224.47 : x
  2. Step 2: Convert to fraction form
    271.36/373.84 = 224.47/x
  3. Step 3: Cross multiply
    271.36x = 373.84 × 224.47
  4. Step 4: Simplify right side
    271.36x = 83,915.86
  5. Step 5: Solve for x
    x = 83,915.86/271.36
  6. Step 6: Final answer
    x = 309.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.