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Finding the Fourth Proportional to 341.26, 470.82 and 224.89

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Solution

The fourth proportional to 341.26, 470.82 and 224.89 is: 310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.26 : 470.82 = 224.89 : x
  2. Step 2: Convert to fraction form
    341.26/470.82 = 224.89/x
  3. Step 3: Cross multiply
    341.26x = 470.82 × 224.89
  4. Step 4: Simplify right side
    341.26x = 105,882.71
  5. Step 5: Solve for x
    x = 105,882.71/341.26
  6. Step 6: Final answer
    x = 310.27

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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.