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Finding the Fourth Proportional to 224.81, 337.43 and 109.32

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Solution

The fourth proportional to 224.81, 337.43 and 109.32 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.81 : 337.43 = 109.32 : x
  2. Step 2: Convert to fraction form
    224.81/337.43 = 109.32/x
  3. Step 3: Cross multiply
    224.81x = 337.43 × 109.32
  4. Step 4: Simplify right side
    224.81x = 36,887.85
  5. Step 5: Solve for x
    x = 36,887.85/224.81
  6. Step 6: Final answer
    x = 164.08

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