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Finding the Fourth Proportional to 224.33, 309.29 and 191.52

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Solution

The fourth proportional to 224.33, 309.29 and 191.52 is: 264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.33 : 309.29 = 191.52 : x
  2. Step 2: Convert to fraction form
    224.33/309.29 = 191.52/x
  3. Step 3: Cross multiply
    224.33x = 309.29 × 191.52
  4. Step 4: Simplify right side
    224.33x = 59,234.26
  5. Step 5: Solve for x
    x = 59,234.26/224.33
  6. Step 6: Final answer
    x = 264.06

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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.