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Finding the Fourth Proportional to 224.99, 337.58 and 109.37

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Solution

The fourth proportional to 224.99, 337.58 and 109.37 is: 164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.99 : 337.58 = 109.37 : x
  2. Step 2: Convert to fraction form
    224.99/337.58 = 109.37/x
  3. Step 3: Cross multiply
    224.99x = 337.58 × 109.37
  4. Step 4: Simplify right side
    224.99x = 36,920.58
  5. Step 5: Solve for x
    x = 36,920.58/224.99
  6. Step 6: Final answer
    x = 164.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.