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Finding the Fourth Proportional to 224.76, 310.20 and 137.40

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Solution

The fourth proportional to 224.76, 310.20 and 137.40 is: 189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.76 : 310.20 = 137.40 : x
  2. Step 2: Convert to fraction form
    224.76/310.20 = 137.40/x
  3. Step 3: Cross multiply
    224.76x = 310.20 × 137.40
  4. Step 4: Simplify right side
    224.76x = 42,621.48
  5. Step 5: Solve for x
    x = 42,621.48/224.76
  6. Step 6: Final answer
    x = 189.63

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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.