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Finding the Fourth Proportional to 224.87, 310.41 and 202.64

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Solution

The fourth proportional to 224.87, 310.41 and 202.64 is: 279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.87 : 310.41 = 202.64 : x
  2. Step 2: Convert to fraction form
    224.87/310.41 = 202.64/x
  3. Step 3: Cross multiply
    224.87x = 310.41 × 202.64
  4. Step 4: Simplify right side
    224.87x = 62,899.93
  5. Step 5: Solve for x
    x = 62,899.93/224.87
  6. Step 6: Final answer
    x = 279.72

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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.