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Finding the Fourth Proportional to 268.40, 368.02 and 261.92

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Solution

The fourth proportional to 268.40, 368.02 and 261.92 is: 359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.40 : 368.02 = 261.92 : x
  2. Step 2: Convert to fraction form
    268.40/368.02 = 261.92/x
  3. Step 3: Cross multiply
    268.40x = 368.02 × 261.92
  4. Step 4: Simplify right side
    268.40x = 96,391.80
  5. Step 5: Solve for x
    x = 96,391.80/268.40
  6. Step 6: Final answer
    x = 359.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.