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Finding the Fourth Proportional to 268.17, 399.08 and 259.41

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Solution

The fourth proportional to 268.17, 399.08 and 259.41 is: 386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.17 : 399.08 = 259.41 : x
  2. Step 2: Convert to fraction form
    268.17/399.08 = 259.41/x
  3. Step 3: Cross multiply
    268.17x = 399.08 × 259.41
  4. Step 4: Simplify right side
    268.17x = 103,525.34
  5. Step 5: Solve for x
    x = 103,525.34/268.17
  6. Step 6: Final answer
    x = 386.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.