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Finding the Fourth Proportional to 262.40, 393.64 and 79.76

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Solution

The fourth proportional to 262.40, 393.64 and 79.76 is: 119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.40 : 393.64 = 79.76 : x
  2. Step 2: Convert to fraction form
    262.40/393.64 = 79.76/x
  3. Step 3: Cross multiply
    262.40x = 393.64 × 79.76
  4. Step 4: Simplify right side
    262.40x = 31,396.73
  5. Step 5: Solve for x
    x = 31,396.73/262.40
  6. Step 6: Final answer
    x = 119.65

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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.