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Finding the Fourth Proportional to 262.64, 362.69 and 225.08

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Solution

The fourth proportional to 262.64, 362.69 and 225.08 is: 310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 362.69 = 225.08 : x
  2. Step 2: Convert to fraction form
    262.64/362.69 = 225.08/x
  3. Step 3: Cross multiply
    262.64x = 362.69 × 225.08
  4. Step 4: Simplify right side
    262.64x = 81,634.80
  5. Step 5: Solve for x
    x = 81,634.80/262.64
  6. Step 6: Final answer
    x = 310.82

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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.