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Finding the Fourth Proportional to 262.29, 362.25 and 245.91

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Solution

The fourth proportional to 262.29, 362.25 and 245.91 is: 339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.29 : 362.25 = 245.91 : x
  2. Step 2: Convert to fraction form
    262.29/362.25 = 245.91/x
  3. Step 3: Cross multiply
    262.29x = 362.25 × 245.91
  4. Step 4: Simplify right side
    262.29x = 89,080.90
  5. Step 5: Solve for x
    x = 89,080.90/262.29
  6. Step 6: Final answer
    x = 339.63

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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.