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Finding the Fourth Proportional to 268.06, 402.71 and 257.13

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Solution

The fourth proportional to 268.06, 402.71 and 257.13 is: 386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.06 : 402.71 = 257.13 : x
  2. Step 2: Convert to fraction form
    268.06/402.71 = 257.13/x
  3. Step 3: Cross multiply
    268.06x = 402.71 × 257.13
  4. Step 4: Simplify right side
    268.06x = 103,548.82
  5. Step 5: Solve for x
    x = 103,548.82/268.06
  6. Step 6: Final answer
    x = 386.29

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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.