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Finding the Fourth Proportional to 224.17, 309.41 and 141.24

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Solution

The fourth proportional to 224.17, 309.41 and 141.24 is: 194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.17 : 309.41 = 141.24 : x
  2. Step 2: Convert to fraction form
    224.17/309.41 = 141.24/x
  3. Step 3: Cross multiply
    224.17x = 309.41 × 141.24
  4. Step 4: Simplify right side
    224.17x = 43,701.07
  5. Step 5: Solve for x
    x = 43,701.07/224.17
  6. Step 6: Final answer
    x = 194.95

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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.