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Finding the Fourth Proportional to 262.96, 393.74 and 185.76

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Solution

The fourth proportional to 262.96, 393.74 and 185.76 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.96 : 393.74 = 185.76 : x
  2. Step 2: Convert to fraction form
    262.96/393.74 = 185.76/x
  3. Step 3: Cross multiply
    262.96x = 393.74 × 185.76
  4. Step 4: Simplify right side
    262.96x = 73,141.14
  5. Step 5: Solve for x
    x = 73,141.14/262.96
  6. Step 6: Final answer
    x = 278.15

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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.