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Finding the Fourth Proportional to 263.26, 393.51 and 185.70

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Solution

The fourth proportional to 263.26, 393.51 and 185.70 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.26 : 393.51 = 185.70 : x
  2. Step 2: Convert to fraction form
    263.26/393.51 = 185.70/x
  3. Step 3: Cross multiply
    263.26x = 393.51 × 185.70
  4. Step 4: Simplify right side
    263.26x = 73,073.88
  5. Step 5: Solve for x
    x = 73,073.88/263.26
  6. Step 6: Final answer
    x = 277.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.