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Finding the Fourth Proportional to 224.89, 310.38 and 131.68

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Solution

The fourth proportional to 224.89, 310.38 and 131.68 is: 181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.89 : 310.38 = 131.68 : x
  2. Step 2: Convert to fraction form
    224.89/310.38 = 131.68/x
  3. Step 3: Cross multiply
    224.89x = 310.38 × 131.68
  4. Step 4: Simplify right side
    224.89x = 40,870.86
  5. Step 5: Solve for x
    x = 40,870.86/224.89
  6. Step 6: Final answer
    x = 181.74

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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.