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Finding the Fourth Proportional to 224.56, 310.06 and 137.35

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Solution

The fourth proportional to 224.56, 310.06 and 137.35 is: 189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.56 : 310.06 = 137.35 : x
  2. Step 2: Convert to fraction form
    224.56/310.06 = 137.35/x
  3. Step 3: Cross multiply
    224.56x = 310.06 × 137.35
  4. Step 4: Simplify right side
    224.56x = 42,586.74
  5. Step 5: Solve for x
    x = 42,586.74/224.56
  6. Step 6: Final answer
    x = 189.65

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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.