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Finding the Fourth Proportional to 268.60, 370.96 and 255.64

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Solution

The fourth proportional to 268.60, 370.96 and 255.64 is: 353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.60 : 370.96 = 255.64 : x
  2. Step 2: Convert to fraction form
    268.60/370.96 = 255.64/x
  3. Step 3: Cross multiply
    268.60x = 370.96 × 255.64
  4. Step 4: Simplify right side
    268.60x = 94,832.21
  5. Step 5: Solve for x
    x = 94,832.21/268.60
  6. Step 6: Final answer
    x = 353.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.