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Finding the Fourth Proportional to 264.07, 363.99 and 245.71

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Solution

The fourth proportional to 264.07, 363.99 and 245.71 is: 338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.07 : 363.99 = 245.71 : x
  2. Step 2: Convert to fraction form
    264.07/363.99 = 245.71/x
  3. Step 3: Cross multiply
    264.07x = 363.99 × 245.71
  4. Step 4: Simplify right side
    264.07x = 89,435.98
  5. Step 5: Solve for x
    x = 89,435.98/264.07
  6. Step 6: Final answer
    x = 338.68

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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.