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Finding the Fourth Proportional to 268.06, 401.86 and 146.26

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Solution

The fourth proportional to 268.06, 401.86 and 146.26 is: 219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.06 : 401.86 = 146.26 : x
  2. Step 2: Convert to fraction form
    268.06/401.86 = 146.26/x
  3. Step 3: Cross multiply
    268.06x = 401.86 × 146.26
  4. Step 4: Simplify right side
    268.06x = 58,774.47
  5. Step 5: Solve for x
    x = 58,774.47/268.06
  6. Step 6: Final answer
    x = 219.26

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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.