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Finding the Fourth Proportional to 268.22, 401.81 and 176.64

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Solution

The fourth proportional to 268.22, 401.81 and 176.64 is: 264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.22 : 401.81 = 176.64 : x
  2. Step 2: Convert to fraction form
    268.22/401.81 = 176.64/x
  3. Step 3: Cross multiply
    268.22x = 401.81 × 176.64
  4. Step 4: Simplify right side
    268.22x = 70,974.84
  5. Step 5: Solve for x
    x = 70,974.84/268.22
  6. Step 6: Final answer
    x = 264.62

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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.