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Finding the Fourth Proportional to 224.93, 337.70 and 164.03

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Solution

The fourth proportional to 224.93, 337.70 and 164.03 is: 246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.93 : 337.70 = 164.03 : x
  2. Step 2: Convert to fraction form
    224.93/337.70 = 164.03/x
  3. Step 3: Cross multiply
    224.93x = 337.70 × 164.03
  4. Step 4: Simplify right side
    224.93x = 55,394.19
  5. Step 5: Solve for x
    x = 55,394.19/224.93
  6. Step 6: Final answer
    x = 246.27

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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.