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Finding the Fourth Proportional to 262.25, 393.51 and 185.71

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Solution

The fourth proportional to 262.25, 393.51 and 185.71 is: 278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.25 : 393.51 = 185.71 : x
  2. Step 2: Convert to fraction form
    262.25/393.51 = 185.71/x
  3. Step 3: Cross multiply
    262.25x = 393.51 × 185.71
  4. Step 4: Simplify right side
    262.25x = 73,078.74
  5. Step 5: Solve for x
    x = 73,078.74/262.25
  6. Step 6: Final answer
    x = 278.66

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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.