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Finding the Fourth Proportional to 268.40, 370.46 and 157.96

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Solution

The fourth proportional to 268.40, 370.46 and 157.96 is: 218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.40 : 370.46 = 157.96 : x
  2. Step 2: Convert to fraction form
    268.40/370.46 = 157.96/x
  3. Step 3: Cross multiply
    268.40x = 370.46 × 157.96
  4. Step 4: Simplify right side
    268.40x = 58,517.86
  5. Step 5: Solve for x
    x = 58,517.86/268.40
  6. Step 6: Final answer
    x = 218.02

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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.