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Finding the Fourth Proportional to 268.15, 401.98 and 109.86

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Solution

The fourth proportional to 268.15, 401.98 and 109.86 is: 164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.15 : 401.98 = 109.86 : x
  2. Step 2: Convert to fraction form
    268.15/401.98 = 109.86/x
  3. Step 3: Cross multiply
    268.15x = 401.98 × 109.86
  4. Step 4: Simplify right side
    268.15x = 44,161.52
  5. Step 5: Solve for x
    x = 44,161.52/268.15
  6. Step 6: Final answer
    x = 164.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.