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Finding the Fourth Proportional to 224.92, 310.39 and 142.07

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Solution

The fourth proportional to 224.92, 310.39 and 142.07 is: 196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.92 : 310.39 = 142.07 : x
  2. Step 2: Convert to fraction form
    224.92/310.39 = 142.07/x
  3. Step 3: Cross multiply
    224.92x = 310.39 × 142.07
  4. Step 4: Simplify right side
    224.92x = 44,095.20
  5. Step 5: Solve for x
    x = 44,095.20/224.92
  6. Step 6: Final answer
    x = 196.05

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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.