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Finding the Fourth Proportional to 265.73, 399.87 and 240.54

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Solution

The fourth proportional to 265.73, 399.87 and 240.54 is: 361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.73 : 399.87 = 240.54 : x
  2. Step 2: Convert to fraction form
    265.73/399.87 = 240.54/x
  3. Step 3: Cross multiply
    265.73x = 399.87 × 240.54
  4. Step 4: Simplify right side
    265.73x = 96,184.73
  5. Step 5: Solve for x
    x = 96,184.73/265.73
  6. Step 6: Final answer
    x = 361.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.