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Finding the Fourth Proportional to 224.93, 337.28 and 103.09

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Solution

The fourth proportional to 224.93, 337.28 and 103.09 is: 154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.93 : 337.28 = 103.09 : x
  2. Step 2: Convert to fraction form
    224.93/337.28 = 103.09/x
  3. Step 3: Cross multiply
    224.93x = 337.28 × 103.09
  4. Step 4: Simplify right side
    224.93x = 34,769.22
  5. Step 5: Solve for x
    x = 34,769.22/224.93
  6. Step 6: Final answer
    x = 154.58

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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.