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Finding the Fourth Proportional to 224.20, 309.18 and 175.06

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Solution

The fourth proportional to 224.20, 309.18 and 175.06 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.20 : 309.18 = 175.06 : x
  2. Step 2: Convert to fraction form
    224.20/309.18 = 175.06/x
  3. Step 3: Cross multiply
    224.20x = 309.18 × 175.06
  4. Step 4: Simplify right side
    224.20x = 54,125.05
  5. Step 5: Solve for x
    x = 54,125.05/224.20
  6. Step 6: Final answer
    x = 241.41

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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.