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Finding the Fourth Proportional to 259.44, 392.10 and 254.96

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Solution

The fourth proportional to 259.44, 392.10 and 254.96 is: 385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.44 : 392.10 = 254.96 : x
  2. Step 2: Convert to fraction form
    259.44/392.10 = 254.96/x
  3. Step 3: Cross multiply
    259.44x = 392.10 × 254.96
  4. Step 4: Simplify right side
    259.44x = 99,969.82
  5. Step 5: Solve for x
    x = 99,969.82/259.44
  6. Step 6: Final answer
    x = 385.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.