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Finding the Fourth Proportional to 224.56, 310.14 and 189.88

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Solution

The fourth proportional to 224.56, 310.14 and 189.88 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.56 : 310.14 = 189.88 : x
  2. Step 2: Convert to fraction form
    224.56/310.14 = 189.88/x
  3. Step 3: Cross multiply
    224.56x = 310.14 × 189.88
  4. Step 4: Simplify right side
    224.56x = 58,889.38
  5. Step 5: Solve for x
    x = 58,889.38/224.56
  6. Step 6: Final answer
    x = 262.24

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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.