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Finding the Fourth Proportional to 262.35, 393.54 and 69.98

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Solution

The fourth proportional to 262.35, 393.54 and 69.98 is: 104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.35 : 393.54 = 69.98 : x
  2. Step 2: Convert to fraction form
    262.35/393.54 = 69.98/x
  3. Step 3: Cross multiply
    262.35x = 393.54 × 69.98
  4. Step 4: Simplify right side
    262.35x = 27,539.93
  5. Step 5: Solve for x
    x = 27,539.93/262.35
  6. Step 6: Final answer
    x = 104.97

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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.