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Finding the Fourth Proportional to 224.62, 310.36 and 185.74

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Solution

The fourth proportional to 224.62, 310.36 and 185.74 is: 256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.62 : 310.36 = 185.74 : x
  2. Step 2: Convert to fraction form
    224.62/310.36 = 185.74/x
  3. Step 3: Cross multiply
    224.62x = 310.36 × 185.74
  4. Step 4: Simplify right side
    224.62x = 57,644.71
  5. Step 5: Solve for x
    x = 57,644.71/224.62
  6. Step 6: Final answer
    x = 256.64

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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.