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Finding the Fourth Proportional to 262.22, 393.40 and 79.64

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Solution

The fourth proportional to 262.22, 393.40 and 79.64 is: 119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.22 : 393.40 = 79.64 : x
  2. Step 2: Convert to fraction form
    262.22/393.40 = 79.64/x
  3. Step 3: Cross multiply
    262.22x = 393.40 × 79.64
  4. Step 4: Simplify right side
    262.22x = 31,330.38
  5. Step 5: Solve for x
    x = 31,330.38/262.22
  6. Step 6: Final answer
    x = 119.48

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