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Finding the Fourth Proportional to 263.08, 393.66 and 186.24

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Solution

The fourth proportional to 263.08, 393.66 and 186.24 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.08 : 393.66 = 186.24 : x
  2. Step 2: Convert to fraction form
    263.08/393.66 = 186.24/x
  3. Step 3: Cross multiply
    263.08x = 393.66 × 186.24
  4. Step 4: Simplify right side
    263.08x = 73,315.24
  5. Step 5: Solve for x
    x = 73,315.24/263.08
  6. Step 6: Final answer
    x = 278.68

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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.