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Finding the Fourth Proportional to 224.72, 310.04 and 146.14

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Solution

The fourth proportional to 224.72, 310.04 and 146.14 is: 201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.72 : 310.04 = 146.14 : x
  2. Step 2: Convert to fraction form
    224.72/310.04 = 146.14/x
  3. Step 3: Cross multiply
    224.72x = 310.04 × 146.14
  4. Step 4: Simplify right side
    224.72x = 45,309.11
  5. Step 5: Solve for x
    x = 45,309.11/224.72
  6. Step 6: Final answer
    x = 201.62

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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.