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Finding the Fourth Proportional to 268.40, 368.14 and 257.60

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Solution

The fourth proportional to 268.40, 368.14 and 257.60 is: 353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.40 : 368.14 = 257.60 : x
  2. Step 2: Convert to fraction form
    268.40/368.14 = 257.60/x
  3. Step 3: Cross multiply
    268.40x = 368.14 × 257.60
  4. Step 4: Simplify right side
    268.40x = 94,832.86
  5. Step 5: Solve for x
    x = 94,832.86/268.40
  6. Step 6: Final answer
    x = 353.33

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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.