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Finding the Fourth Proportional to 224.23, 309.43 and 125.99

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Solution

The fourth proportional to 224.23, 309.43 and 125.99 is: 173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.23 : 309.43 = 125.99 : x
  2. Step 2: Convert to fraction form
    224.23/309.43 = 125.99/x
  3. Step 3: Cross multiply
    224.23x = 309.43 × 125.99
  4. Step 4: Simplify right side
    224.23x = 38,985.09
  5. Step 5: Solve for x
    x = 38,985.09/224.23
  6. Step 6: Final answer
    x = 173.86

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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.